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To the nearest hundredth, what is the value of x?

To the nearest hundredth, what is the value of x?-example-1
User Svilenv
by
4.9k points

1 Answer

2 votes

Answer:

The answer to your question is x = 37.74

Explanation:

Data

Right triangle

hypotenuse = c = 45

angle = 33°

adjacent 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 = 45 x cos 33

-Simplification

Adjacent side = 45 x 0.839

-Result

Adjacent side = x = 37.74

User NikkyD
by
5.8k points