In ΔSTU, the measure of ∠U=90°, the measure of ∠S=25°, and US = 15 feet. Find the length of ST to the nearest tenth of a foot.

Question

asked Oct 17, 2022 94.0k views

2 Answers

Cabs · Answer 1 · 2022-10-24T06:55:45+0000

Answer:

15.1feet

Explanation:

From the triangle, we are given the following

<S = 25 degree

US = 15 feet = Adjacent

Required

ST = Hypotenuse

Using the trig identity

Cos theta = adj/Hyp

Cos 25 = 15/ST

ST = 15/cos25

ST = 15/0.9912

ST = 15.13feet

Hence the measure of ST is 15.1feet