Question

In ΔSTU, the measure of ∠U=90°, US = 5.9 feet, and TU = 2.6 feet. Find the measure of ∠T to the nearest tenth of a degree.

Answer 1

• 66.2°

Explanation:

ΔSTU is a right triangle.

US and TU are legs, SU is opposite to ∠T.

Use tangent to find the measure of ∠T.

• tan ∠T = 5.9 / 2.6
• tan ∠T = 2.269
• m∠T = arctan (2.269) = 66.2° (rounded)