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Find the measure of Angle R to the nearest tenth.

a. 34.7 degrees
b. 31.9 degrees
c. 39.6 degrees
d. 43.2 degrees

Find the measure of Angle R to the nearest tenth. a. 34.7 degrees b. 31.9 degrees-example-1
User Bilqis
by
8.4k points

1 Answer

1 vote

Answer:

The correct option is c.

Explanation:

From the given figure it is noticed that the triangle PQR is a right angle triangle.

In a right angle triangle,


\sin\theta=(perpendicular)/(hypotenuse)

In triangle PQR,


\sin R=(PQ)/(QR)


\sin R=(37)/(58)


R=\sin^(-1)((37)/(58))


R=39.6377144^(\circ)


R\approx 39.6^(\circ)

Therefore option c is correct.

User Sirex
by
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