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).

Question

asked Jun 15, 2024 59.5k views

1 Answer

Yang Yang · Answer 1 · 2024-06-21T03:47:40+0000

Answer:

∠ 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 )