Question

In ΔDEF, the measure of ∠F=90°, DE = 90 feet, and FD = 23 feet. Find the measure of ∠E to the nearest degree.

Answer 1

angle E is 15 dgeree

Explanation:

hypotenuse is the side opposite to 90 degree. So, here hypotenuse is DE.

take angle E as reference angle .Then,

opposite=DF = 23 feet

hypotenuse=DE = 90 feet

using sin rule

sin E =opposite/hypotenuse

sin E=23/90

sin E=0.255

E =
`sin^(-1) (0.255)`

E=14.77

E=15 degree