9514 1404 393
Answer:
5. 70°
6. 69°
7. 17°
8. 37°
Explanation:
Problems 5, 7, 8 have the opposite side and adjacent side given. You know that ...
Tan = Opposite/Adjacent
Then the angle measure is ...
angle = arctan(Opposite/Adjacent)
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Problem 6 gives the opposite side and the hypotenuse. The sine relation is involved there:
Sin = Opposite/Hypotenuse
Then the angle measure is ...
angle = arcsin(Opposite/Hypotenuse)
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5. ? = arctan(93/34) ≈ 70°
6. ? = arcsin(42/45) ≈ 69°
7. ? = arctan(11/35) ≈ 17°
8. ? = arctan(22/29) ≈ 37°