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What is measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

°
P Q R is a right triangle. Q is a right angle. P Q is equal to eight centimeters, Q R is equal to fifteen centimeters and P R is equal to seventeen centimeters.

Respuesta :

calculista

Answer:

[tex]R=28.07^o[/tex]

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle PQR

The sine of angle R is equal to divide the opposite side to angle R (PQ) by the hypotenuse (PR)

so

[tex]sin(R)=\frac{PQ}{PR}[/tex]

substitute the values

[tex]sin(R)=\frac{8}{17}[/tex]

Find the measure of angle R

using a calculator

[tex]R=sin^{-1}(\frac{8}{17})[/tex]

[tex]R=28.07^o[/tex]

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