Question

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

Answer 1

∠ 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 )