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.

Question

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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Abigail 4 days 2022-01-15T13:55:47+00:00 1 Answer 0 views 0

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    2022-01-15T13:56:48+00:00

    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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