Question

Using the diagram, to what height can the crane raise building material? Round to the nearest foot.

A) 62 ft
B) 75 ft
C) 78 ft
D) 80 ft

Answer 1

C) 78 ft

Explanation:

The side opposite the angle has the ratio to the hypotenuse:

Sin = Opposite/Hypotenuse

Then the solution to this problem is found by substituting the given information and solving for the height.

sin(45°) = height/(110 ft)

(110 ft)·sin(45°) = height ≈ 77.7817 ft

Rounded to the nearest foot, the crane can raise material to a height of 78 ft.