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Find the value of x. round answer to nearest tenth please.

Find the value of x. round answer to nearest tenth please.-example-1

1 Answer

3 votes

Answer:

The answer to your question is x = 29.4

Explanation:

Data

It is a right triangle

longest side = hypotenuse = 44

angle = Ф = 48°

side = x

Process

To solve this problem use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

cos Ф = adjacent side / hypotenuse

-Solve for adjacent side

Adjacent side = hypotenuse x cosФ

-Substitution

Adjacent side = 44 x cos 48

-Simplification

Adjacent side = 44 x 0.6691

-Result

Adjacent side = 29.44 ≈ 29.4

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