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Mathematics

Answered

In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot.

Answer :

Sqdancefango Sqdancefango

9514 1404 393

Answer:

0.9 ft

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(71°) = (2.5 ft)/SQ . . . . . . . . fill in the given values

SQ = (2.5 ft)/tan(71°) ≈ 0.8608 ft

The length of SQ is about 0.9 feet.

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