Question

In EFG the measure of G=90 FG=21 and EF=63 feet find the measure of E to the nearest degree. ​

Answer 1

∠ E ≈ 71°

Explanation:

using the cosine ratio in the right triangle

cos E =
`(adjacent)/(hypotenuse)` =
`(EG)/(EF)` =
`(21)/(63)` , then

∠ E =
`cos^(-1)` (
`(21)/(63)` ) ≈ 71° ( to the nearest degree )