Question

From a point on the ground 62 feet from the foot of statue, the angle of elevation of the top of the statue is 37º. Find the height of the statue to the nearest foot.

[1] 37 feet
[2] 47 feet
[3] 50 feet
[4] 82 feet

Answer 1

so hmm check the picture below

make sure, your calculator is in Degree mode, since the angle is in degrees

Answer 2

Option [2] 47 feet

Explanation:

In the figure attached. AB is the height of statue C is the point 62 feet away from the statue.

and 37° is the angle of elevation of the top of the statue.

We have to calculate height h of the statue

`tan37=(h)/(62)` ⇒ h = 62(tan 37)

h = 62(0.7536)

h = 46.72 feet ≈ 47 feet

Option [2] 47 feet is the answer.