Question

In ΔDEF, the measure of ∠F=90°, DE = 9.4 feet, and EF = 8.4 feet. Find the measure of ∠D to the nearest degree.

Answer 1

63°

Explanation:

The sine of an angle is the ratio of the opposite side to the hypotenuse.

Sin = Opposite/Hypotenuse

sin(D) = EF/DE = 8.4/9.4

Using the inverse sine function, we can find the angle:

D = arcsin(8.4/9.4) ≈ 63.33°

∠D ≈ 63°