Question

You have been commissioned to design a monument to Mr. Mullen. The monument consists of a pool 100 ft long where observers stand on one side of the pool and a giant statue of Mr. Mullen holding a cat stands on the other. If you want the angle of elevation from the ground to be 42 degrees, how tall must you make the statue?

a. 100 ft
b. 90 ft.
c. 111 ft
d. 67 ft
e. 74 ft

Answer 1

a. 100 ft

b. 90 ft.

c. 111 ft

d. 67 ft

e. 74 ft

its b.90 ft.

Answer 2

9514 1404 393

Answer:

b. 90 ft

Explanation:

The opposite and adjacent sides of the relevant triangle are given.

Tan = Opposite/Adjacent

tan(42°) = h/(100 ft)

h = (100 ft)tan(42°) ≈ 90.04 ft

The statue must be about 90 ft tall.