100 points
Pls pls pls help

What is the measure of angle R in this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the hundredths place (2 decimal places).


m∠R=

100 points Pls pls pls help What is the measure of angle R in this triangle Enter your answer as a decimal in the box Round only your final answer to the hundre class=


Answer :

Answer:

  • m∠R = 61.92°

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Use trigonometry.

Since all three sides are known, you may choose either sine, cosine or tangent.

We'll use sine here:

  • sine  = opposite leg / hypotenuse
  • sin ∠R = TS/TR
  • sin ∠R = 60/68
  • sin ∠R = 0.8823
  • m∠R = arcsin 0.8823
  • m∠R = 61.92°