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.

Question

Mathematics

Marlie

4 September, 02:15

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.

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Answers (1)

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Tori Francis · Answer 1

238.9 ft

Step-by-step 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