Question

GEOMETRY! Show your work, please.

Answer 1

Answer:

The answer to your question is 79 ft

Step-by-step explanation:

Data

length = 100 ft

angle = 52°

Process

To solve this problem use trigonometric functions. The trigonometric function we are going to use is sine because it relates the opposite side and the hypotenuse.

                      sin Ф = Opposite side / Hypotenuse

-Solve for Opposite side

                      Opposite side = hypotenuse x sinФ

-Substitution

                      Opposite side = 100 sin 52

-Simplification

                      Opposite side = 100 (0.79)

-Result

                      Opposite side = 78.8 ≈ 79 ft