Question

Find m∠E to the nearest degree.

Answer 1

m<E = arcsin (opposite/hypotenuse)

m<E = arcsin (6/10)

Use the calculator:
m<E is estimated to be 37 degrees

Answer 2

Answer: The value of m∠E = 37°

Explanation:

Since we have given that

ED = 8

EF = 10

DF = 6

We need to find the measure of m∠E .

`\sin E=(DF)/(EF)=(opposite)/(Adjacent)\\\\\sin E=(6)/(10)\\\\\sin E=(3)/(5)\\\\\sin E=0.6\\\\E=\sin^(-1)(0.6)\\\\E=36.86^\circ\\\\E=37^\circ`

Hence, m∠E = 37°