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=

Verified Answer :

You have three options, all of them work.
sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse
tan(angle) = opposite/adjacent

You are already given the length of the lines, so all you can is to take the inverse of whatever you choose to get the angle.

\(sin^{-1}\) (5/13) = 22.62

\(cos^{-1}\) (12/13) = 22.62

\(tan^{-1}\) (5/12) = 22.62


Using the sine ratio of the trigonometry function, the measure of angle R is: 22.62°.

What is the Sine Ratio?

Sine ratio is expressed as: sin ∅ = opposite side/adjacent side.

Given:

∅ = R

Opposite = 5 cm

Adjacent = 13 cm

Thus:

sin R = 5/13

R = sin^-1(5/13)

R = 22.62°

Thus, using the sine ratio of the trigonometry function, the measure of angle R is: 22.62°.

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