Question

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

Answer 1

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.