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.

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