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In ΔCDE, the measure of ∠E=90°, the measure of ∠D=57°, and CD = 9.2 feet. Find the length of EC to the nearest tenth of a foot.

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sqdancefan

Answer:

  7.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

You are given the angle and the hypotenuse, and want to know the length of the side opposite. Filling in the problem values, you have ...

  sin(D) = CE/CD

  sin(57°) = CE/(9.2 ft)

  (9.2 ft)sin(57°) = CE ≈ 7.7 ft

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