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kudzordzifrancis

ANSWER

(D)54.1°

EXPLANATION

The measure of angle P can be calculated using the cosine ratio.

We know the adjacent side to angle P to be 33.8 and the hypotenuse of the right triangle is 57.6 units.

[tex] \cos(P) = \frac{adjacent}{hypotenuse} [/tex]

[tex]\cos(P) = \frac{33.8}{57.6} [/tex]

Take cosine inverse,

[tex]P= \cos ^{ - 1} (\frac{33.8}{57.6} )[/tex]

[tex]P=54.07 \degree[/tex]

To the nearest tenth, the measure of <P is 54.1°

mixter17

Hello!

The answer is:

D) 54.1°

Why?

Since we are working with a right triangle, we can use the following equationo to calculate the meause of ∡ P:

[tex]Cos(\alpha )=\frac{adjacent}{hypothenuse}[/tex]

[tex]\alpha =cos(\frac{adjacent}{hypothenuse})^{-1}[/tex]

We are given that:

[tex]adjacent=33.8\\hypothenuse=57.6[/tex]

Now, substituting and calculating, we have:

[tex]P=cos(\frac{33.8units}{57.6units})^{-1}=54.07\°=54.1\°[/tex]

Hence the answer is:

D) 54.1°

Have a nice day!

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