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An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 46°. The engineer knows the building is 250 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

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# Tag: tall

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### Answered by answersmine AT 22/10/2019 – 04:05 AM

The answer should be **D. Argumentative**! It makes an argument that also persuades you in a different way but only of the sense that this time it is knocking what argument you made down. Have a good rest of your day!

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George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.20 meters along the shadow of the tree until his head was in a position where the tip of his shadow exactly overlaps the end fo the tree top’s shadow. He is now 5.1 meters from the end of the shadows. How tall is the tree?

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First, draw the triangle of the ladder, with the fence and the building.

There are two similar right triangles: the one from the ground to the fence, and the one from the ground to the building. Let’s call L the length of the ladder and l, the length of the ladder from the ground to the fence, then:

L/(x+d) = l/x, where x is the horizontal distance from the point where the ladder touches the ground to the base of the fence and ‘d’ is the distance between the fence and the building (d=5 ft).

L = (x+d)/x*l, now l = sqrt( x^2+h^2), where h is the height of the fence (h=6 ft).

Then, one usually squares it, because the point where the maximum or minimum is attained is the same when optimizing a distance.

So that, one could look for the minimum of L^2 = (x+d)^2/x^2*(x^2+h^2), where d = 5 ft, and h = 6ft.

What I don;t like, is that L’ = dL/dx is a bit lengthy to calculate and then you have to set it = 0. I think all this is right, but I expected a somewhat simpler expression, unless you’re doing AP or similar.

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A man standing 9 feet from the base of a lamppost casts a shadow 6 feet long. if the man is 6 feet tall and walks away from the lamppost at a speed of 30 feet per minute, at what rate, in feet per minute, will his shadow lengthen?

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A 1:35 scale model of a fishing hut is 17 cm tall, 18 cm wide, and 19.7 cm long. What are the dimensions of the actual ice fishing hut?

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So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

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In sunlight, a vertical stick 6ft tall casts a shadow 2 ft long. At the same time a nearby tree casts a shadow 14ft long. How tall is the tree?

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it namely means x = -3 and x = -5, an x-intercept is when the graph touches the x-axis, at that point, the y-intercept is 0, so the point is (-3, 0) and (-5, 0)

if the roots are -3, and -5, then

if you have the zeros/x-intercepts/solutions of the polynomial, all you have to do is, get the factors, as above, and get their product, to get the parent original polynomial.

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Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil

m₂=20 g=0.02 kg is the mass of the eraser

r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. **BMI** test level is high from normal ranges shows that she is at higher risk of **disease**. She should lose weight and concern to the doctor.

**Further Explanation:
**

Body mass index (BMI) is a measured value derived from the height of a person and mass.

BMI indicates whether the person is healthy or overweight mainly used by physicians.

• Range of BMI in a **normal person is 18.5-25**

• Range of BMI in** skinfold person is 25-30**

• Range of BMI in **underweight person is 15-18.5**

The skinfold measurement test is used to determine a person’s body fat percentage and body composition.

In this test, we are the proportion of body fat by determining skinfold thickness at pinches specific part of the body. The estimate of these folds is determined the fat beneath the skin, also called subcutaneous adipose tissue.

The tester pinches the skin at the site and drags the fold of skin away from the muscle so only the fat tissue and skin are being held. The skinfold thickness is measured by skinfold calipers in millimeters.

Skin test includes the seven locations of the body:

1. Triceps

2. Quadriceps

3. Suprailiac

4. Pectoral

5. Subscapular

6. Midaxilla

7. Abdomen

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. Females with waist size 47 inches have higher risk of having disease. BMI test level is high from normal ranges shows that she is at higher risk of disease.She should lose weight and concern to the doctor.

**Learn more:**

**1. **Learn more about carbohydrate monomer brainly.com/question/6947177

**2. **Learn more about core muscle stabilization brainly.com/question/1231927

**3. **Learn more about energy storagehttps://brainly.com/question/523624

**Answer Details:
**

**Grade: **High School

**Subject: **Health

**Chapter:** Physical Fitness

**Keywords:
**

Body index mass, weight, doctor, triceps, abdomen, midaxilla, Quadriceps, skinfold, mass, height, pectoral.

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Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil

m₂=20 g=0.02 kg is the mass of the eraser

r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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1984, you might have been asked to read this one already in school, if not I suggest going ahead and reading it; its fun to be ahead of your class.

Originally published in 1949 by George Orwell, 1984 depicts a dystopian world of the ‘future’. The book is less of a prediction more then it is a warning of what could be. It follows one character who is desperately trying to remember what real life is like, and gets tangled up in all sorts of messes along the way.

You could read Alice in Wonderland or Mary Poppins, theres a million great classics out there Im sure you can find on any website.

Personally I prefer fantasy novels;

Brandon Sanderson’s The Rithmatist

This book follows a young student through a steampunk style, magic infused world. It takes a moment to not chuckle at the concept of monsters that are essentially drawings, but its a very well done book with beautiful writing and mental scenery

Patrick Rothfuss’s, The Name of the Wind

This is my favorite book of all time. Patrick Rothfuss’s work is honestly amazing in this book. Mind you its probably not all that wise for the feint of heart through perhaps the second chapter; but it really is amazing. The sculpting of the world, the depth of the characters its utterly masterful. The story opens with Kote, a fairly normal seeming innkeeper and his dark haired companion Bast. Fairly normal until a man happens upon the inn, looking for a certain Kvothe, a man thought to just be a legend and a story… and Kote’s past is drug up, and other things that should probably be better left alone.

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**The basis to respond this question are:**

**1) Perpedicular lines form a 90° angle between them.**

**2) The product of the slopes of two any perpendicular lines is – 1.**

So, from that basic knowledge you can analyze each option:

**a.Lines s and t have slopes that are opposite reciprocals.**

**TRUE. Tha comes the number 2 basic condition for the perpendicular lines.**

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

**c.The product of the slopes of s and t is equal to -1**

**TRUE: that is one of the basic statements that you need to know and handle.**

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

**g.The intersection of s and t forms right angle.**

**TRUE: right angle = 90°.**

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

**So, the right choices are a, c and g.**

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**Answer:**

3 hours.

**Step-by-step explanation:**

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

**Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.**

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**Answer:**

3 hours.

**Step-by-step explanation:**

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

**Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.**

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**Answer:**

3 hours.

**Step-by-step explanation:**

Let x be the time taken by shoe repairman to repair one pair.

We have been given that his assistant, who takes twice as long to repair a pair of shoes. So time taken by his assistant to repair one pair of shoes would be 2x.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

We have been given that together they can fix 16 pairs of shoes in an eight-hour day. We can represent this information in an equation as:

Let us have a common denominator.

Upon cross multiplying our equation we will get,

**Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.**

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**Answer with Step-by-step explanation:**

A scale model of a school building is 5 inches tall.

Actual size of the school building is 100 feet.

1 feet=12 inches

100 feet=12×100 inches

= 1200 inches

5 inch is representing 1200 inches

1 inch represents 1200/5 inches

**1 inch represents 240 inches**

or 1 inch represents 12×20 inch

or **1 inch represents 20 feet**

**Scale of the model is:**

**1 inch represents 240 inches**

**1 inch represents 20 feet**

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**Answer:**

Option C – BD=76 cm

**Step-by-step explanation:**

**Given :** You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

**To find : **How long BD should it be?

**Solution : **

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

**Two disjoint pairs of consecutive sides are congruent.**

**So,** AD=AB=44.8 cm

DC=BC=72 cm

**The diagonals are perpendicular.**

**S**o, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC= …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

**Applying Pythagorean theorem in ΔAOD**

where H=AD=44.8 ,P= AO=x , B=OD=z

………[2]

**Applying Pythagorean theorem in ΔCOD**

where H=DC=72 ,P= OC=y , B=OD=z

…………[3]

**Subtract [2] and [3]**

……….[4]

**Add equation [1] and [4], to get values of x and y**

**Substitute x in [1]**

**Substitute value of x in equation [2], to get z**

**We know, **BD=z+z

BD= 38.06+38.06

BD= 76.12

**Nearest to whole number **BD=76 cm

**Therefore, Option c – BD=76 cm is correct.**

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**Answer:**

**x > 2 **

**Step-by-step explanation:**

Here, **x** represents the **length** of the poster,

Since, width of the poster is 2 inches shorter than its length,

⇒ **Width** of the poster = **( x – 2 ) **inches,

Thus, the area of the poster = length × width,

⇒ **A = x (x-2)**

We know that,

Area of a poster must be greater than zero,

⇒ A > 0,

⇒ x(x-2) > 0

⇒ x > 0 and x-2 > 0

If x – 2 > 0 ⇒ **x > 2**,

That is, the length of the poster must be greater than 2 inches.

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So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

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**Answer:**

3 hours.

**Step-by-step explanation:**

Let x be the time taken by shoe repairman to repair one pair.

The number of pair of shoes repaired by repairman in one hour would be .

The number of pair of shoes repaired by assistant in one hour would be .

Let us have a common denominator.

Upon cross multiplying our equation we will get,

**Therefore, it take 3 hours for the repairman to fix one pair of shoes by himself.**

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**Answer:**

The height of the telephone pole is 14.711 m (Approx) .

**Step-by-step explanation:**

Let us assume that the height be x .

Let us assume that the shadow be y .

(As the shadow is always proportional to the height .)

Thus

y = kx

Where k is the constant of proportionality .

As given

if a statue that is 33 cm tall cast a shadow 83 cm long .

y = 83 cm

x = 33 cm

Put in the equation y = kx .

83 = 33k

As given

A telephone pole cast a shadow that is 37 m .

Let us assume that the height of the telephone pole be z .

As

1m = 100cm

37m = 3700 cm

y = 3700 cm

x = z

Put in the equation y = kx .

3700 = zk

Compare the value of k .

z = 1471.1 cm(Approx)

As

= 14.711 m (Approx)

Therefore the height of the telephone pole is 14.711 m (Approx) .

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The right answer is D.

Meiosis consists of two successive cell divisions that will give birth to gametes.

After the meiosis, the original cell gave birth to four haploid cells whose genomes were recombined in a unique way.

In humans, the cells that will participate in meiosis are spermatocytes and oocytes.

In the cells that will enter into meiosis, the replication of A.D.N. occurred during interphase, each chromosome consists of 2 chromatids connected by their centromere. (Each chromatide is formed of a double-stranded A.D.N molecule and molecules that maintain its structure)

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**Answer:**

The answer is C. In order to carefully control conditions and confirm or disconfirm a hypothesis about the causes of behavior, one must perform an experiment.

**Explanation:**

Experimental research allows the researcher to control all the variables in order to create the conditions that can confirm or disconfirm a hypothesis. This method aimes to establish a relation of causality between two variables, which means that one variable is generated and determined by the other; this is posible because all of the other variables that can influence it have been controlled.

When a researcher conducts a survey or engages in naturalistic observation, he can’t control the variables, therefore, he can only establish a correlation between two variables, but not of causality.

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