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What is the value of x?

Enter your answer as a decimal to the nearest tenth in the box.
ft
B
29
27 ft
C

What is the value of x? Enter your answer as a decimal to the nearest tenth in the-example-1

1 Answer

5 votes

Answer:

23.6 ft

Explanation:

In the right triangle, an acute angle, the hypotenuse, and an adjacent side are marked. We went to know the length of the adjacent side. The trig relation involved is ...

Cos = Adjacent/Hypotenuse

__

Filling in the given information, this relation tells us ...

cos(29°) = x/(27 ft)

Solving for x, we get ...

x = (27 ft)cos(29°) ≈ 23.614 ft

The value of x is about 23.6 ft.

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