Question

What is the measure of ∠R ? Round your final answer to the nearest tenth, if necessary.
29.8°
33.5°
50.5°
53.7°

The figure shows obtuse triangle P Q R. The measure of angle Q is 96 degrees. The length of side P Q is 30 feet. The length of side R P is 54 feet.

Answer 1

The answer is 33.5 degrees.

Answer 2

In this question, it is given that

The measure of angle Q is 96 degrees. The length of side P Q is 30 feet. The length of side R P is 54 feet.

And to find the measurement of angle R, we have to use sine law, which is

$\frac{sin Q}{PR} = \frac{sin R}{PQ}$

Substituting the given values,we will get

$\frac{sin96}{54} = \frac{sin R}{30}$

$sin R = \frac{30 sin 96}{54}$

$R = sin^{-1}( \frac{30 sin 96}{54}) R = 33.5 degree$

Correct option is the second option .