alexabessin alexabessin
  • 15-04-2019
  • Mathematics
contestada

What is measure of angle R?

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

What is measure of angle R Enter your answer as a decimal in the box Round only your final answer to the nearest hundredth class=

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calculista
calculista calculista
  • 24-04-2019

Answer:

The measure of angle R is [tex]28.07\°[/tex]

Step-by-step explanation:

we know that

In the right triangle PRQ

The cosine of angle R is equal to the adjacent side angle R divided by the hypotenuse

so

[tex]cos(R)=\frac{QR}{PR}[/tex]

substitute the values

[tex]cos(R)=\frac{15}{17}[/tex]

[tex]R=arccos(\frac{15}{17})=28.07\°[/tex]

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