In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

Question

Anastasia Tran

Mathematics

13 July, 20:28

In ΔDEF, the measure of ∠F=90°, DE = 70 feet, and EF = 57 feet. Find the measure of ∠D to the nearest tenth of a degree.

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Answers (1)

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Zhang · Answer 1

54.5°

Step-by-step explanation:

You know that in a right triangle, the sine of an angle is given by ...

Sin = Opposite/Hypotenuse

sin (D) = EF/ED = 57/70

The inverse sine function is used to find the angle:

∠D = arcsin (57/70)

∠D ≈ 54.5°