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In ADEF, the measure of ZF=90°, FD = 33 feet, and DE = 92 feet. Find the measure

of ZD to the nearest tenth of a degree.
E

In ADEF, the measure of ZF=90°, FD = 33 feet, and DE = 92 feet. Find the measure of-example-1

1 Answer

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Answer:

∠ D ≈ 69.0°

Explanation:

using the cosine ratio in the right triangle

cos D =
(adjacent)/(hypotenuse) =
(FD)/(DE) =
(33)/(92) , then

∠ D =
cos^(-1) (
(33)/(92) ) ≈ 69.0° ( to the nearest tenth )

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