GEOMETRY! Show your work, please.

Mathematics

1 answer:

ollegr [7]2 years ago

5 0

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

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