Question

Find the unknown side lengths and angle measures.

Round the lengths to the nearest tenth and the angle measures to the nearest degree.

Answer 1

Explanation:

m∠D = 90° - 51° = 39°

sin E =
`(DE)/(DF)` ⇒ DE = DF × sin E

DE = 18 sin51° ≈ 14.0 ft.

cos E =
`(EF)/(DF)` ⇒ EF = DF × cos E

EF = 18 × cos51° ≈ 11.3 ft.