Question

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

Answer 1

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.

Answer 2

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

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

 - 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:

 Sinα=opposite/hypotenuse

 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