asked 14.7k views
3 votes
31
?
40
Find the measure of the indicated angle to the nearest whole degree.

31 ? 40 Find the measure of the indicated angle to the nearest whole degree.-example-1

1 Answer

5 votes

Answer:

51°

Explanation:

Reference angle (θ) = ?

Opposite side length = 31

Hypotenuse length = 40

Apply SOH, which is;

Sin θ = Opp/Hyp

Plug in the values

Sin θ = 31/40

θ = sin^{-1}(31/40)

θ = 51° (neatest whole degree)

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