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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.

2 Answers

5 votes

Answer:

the correct answer is acually 16.6

Explanation:

User Nigong
by
3.4k points
5 votes

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

User Cabs
by
3.8k points