Question

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).

Answer 1

∠ R ≈ 61.93°

Explanation:

Any of the 3 trigonometric ratios, may be used here.

using the cosine ratio in the right triangle

cos R =
`(adjacent)/(hypotenuse)` =
`(RS)/(RT)` =
`(32)/(68)` , then

∠ R =
`cos^(-1)` (
`(32)/(68)` ) ≈ 61.93° ( to the nearest hundredth )