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In ΔRST, the measure of ∠T=90°, the measure of ∠S=75°, and ST = 64 feet. Find the length of TR to the nearest tenth of a foot.

User Lihkinisak
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2 Answers

2 votes

Answer:

362 feet

Explanation:

User Victor Zuanazzi
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6.1k points
3 votes

Answer:

238.9 ft

Explanation:

R = 180 - 90 - 75 = 15

TR/sin(S) = ST/sin(R)

TR/sin(75) = 64/sin(15)

TR = sin(75) × 64/sin(15)

TR = 238.8512516844

Or,

tan(S) = TR/ST

TR = 64tan(75)

TR = 238.8512516844

User Janely
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