Question

Find the measure of Angle R to the nearest tenth.

Answer 1

Answer:

The correct option is c.

Step-by-step explanation:

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

In a right angle triangle,

$\sin\theta=\frac{perpendicular}{hypotenuse}$

In triangle PQR,

$\sin R=\frac{PQ}{QR}$

$\sin R=\frac{37}{58}$

$R=\sin^{-1}(\frac{37}{58})$

$R=39.6377144^{\circ}$

$R\approx 39.6^{\circ}$

Therefore option c is correct.