In △pqr, find the measure of ∡p. (a)30.4° (b)59.6° (c)35.9° (d)54.1°

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.

Take cosine inverse,

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

The answer is:

D) 54.1°

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

We are given that:

Now, substituting and calculating, we have:

Hence the answer is:

D) 54.1°

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step-by-step explanation: