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AlekseyPX
3 years ago
10

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
Tresset [83]3 years ago
7 0

The measure of the angle R is m \angle R=69.4

Explanation:

It is given that the lengths of the triangle are PQ = 8 and QR = 3

To find the angle of R using the opposite and adjacent side, we shall use the tangent formula.

\tan \theta=\frac{o p p}{a d j}

where opp = 8 and adj = 3

Thus, substituting these values in the formula, we get,

\tan \theta=\frac{8}{3}

Multiplying both sides by tan^{-1}, we get,

\theta=tan^{-1} (\frac{8}{3})

Dividing, we get,

\theta=69.44

Rounding off to the nearest tenth, we have,

\theta=69.4

Thus, the measure of the angle R is m \angle R=69.4

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