What is measure of angle R?

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

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What is measure of angle REnter your answer as a decimal in the box Round only your final answer to the nearest hundredthI need this ASAP please class=

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22.62 cm. I just took this quiz.

The triangle is right angles triangle,

So we can use sin theta here as,

[tex] sin R = \frac{Perpendicular}{Hypotenuse} [/tex]

We are given from figure,

Perpendicular = 5cm and hypotenuse =13cm

Plugging these in the formula,

[tex] sin R = \frac{5}{13} [/tex]

sin R =0.3846

Now here we take sin inverse to get the value of angle R,

R = 22.6189 degrees.

Answer: Angle R is 22.6189 degrees.