359,137 views
44 votes
44 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
User Martina
by
2.7k points

1 Answer

23 votes
23 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)

User Kyle Kamperschroer
by
2.5k points