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

`(sin Q)/(PR) = (sin R)/(PQ)`

Substituting the given values,we will get

`(sin96)/(54) = (sin R)/(30)`

`sin R = (30 sin 96)/(54)`

`R = sin^(-1)( (30 sin 96)/(54)) R = 33.5 degree`

Correct option is the second option .