In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=37°, and SQ = 56 feet. Find the length of QR to the nearest tenth of a foot
1 answer:
Answer:
70.1 ft
Step-by-step explanation:
The cosine relation gives the ratio of the adjacent side to the hypotenuse for an acute angle in a right triangle:
Cos = Adjacent/Hypotenuse
cos(37°) = SQ/QR
Rearranging gives ...
QR = SQ/cos(37°) = (56 ft)/0.798636 = 70.1 ft
The length of QR is about 70.1 ft .
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