Answer:
The answer to your question is 79 ft
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