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ollegr [7]
2 years ago
15

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.

Mathematics
1 answer:
kondor19780726 [428]2 years ago
5 0

Answer:

  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°

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