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allochka39001 [22]

3 years ago

9

The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees. If Madison is standing 58.2 feet from its

base and she is 5 feet tall what is the height of the Statue of Liberty
SHOW WORK PLEASE

2 answers:

murzikaleks [220]3 years ago

6 0

Answer:

305 feet

Step-by-step explanation:

Refer the attached figure :

The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees i.e.∠ABE=79°

Madison is standing 58.2 feet from its base i.e.BE=CD=58.2 feet

She is 5 feet tall i.e. BC=ED=5 feet.

We are supposed to find the height of the Statue of Liberty i.e. AD

In ΔABE

$Tan\theta =\frac{Perpendicular}{Base}$

$Tan 70^{\circ} =\frac{AE}{BE}$

$Tan 70^{\circ} =\frac{AE}{58.2}$

$58.2 \times 5.1445=AE$

$299.4099=AE$

AD = AE+ED = 299.4099+5 =304.409

Hence the height of the Statue of Liberty is 304.40 feet≈ 305 feet.

lana66690 [7]3 years ago

4 0

To solve this problem you must apply the proccedure shown below:

1. You have the following information given in the problem:

- <span>The angle of elevation from Madison to the top of the Statue of Liberty is 79 degrees.
- Madison is standing 58.2 feet from its base.

-Madison is 5 feet tall.

2. Therefore, you have:

Sin</span>α=opposite/hypotenuse
<span>
Sin(79°)=x/58.2
x=(58.2)(Sin(79°))
x=57.13 ft

3. Now, you can calculate the height of the Statue of Liberty, as below:

height=x+5 ft
height=57.13 ft+5 ft
height=62.13 ft

4. Therefore, as you can see, the answer is: 62.13 ft
</span>

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To prove

Now as shown in the figure.

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