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Use the Law of Sines to find the indicated angle 0. (Assume c = 30. Round your answer to the nearest degree.)

Use the Law of Sines to find the indicated angle 0. (Assume c = 30. Round your answer-example-1

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In order to find the measure of angle θ, use the law of sines for sides c and

a and angles A and C, just as follow:

a/sinA = c/sinθ

Solve for sinθ the previous equation:

a/sinA = c/sinθ

sinθ = (c sinA)/a

replace c = 30, a = 45 and A = 120°

sinθ = (30 sin120°)/45

sinθ = 0.577

Next, apply sin⁻¹ both sides to find the value of θ:

sin⁻¹(sin θ) = sin⁻¹ (0.577)

θ = sin⁻¹ (0.577)

θ = 35.26°

θ ≈ 35°

Hence, the value of θ is approximately 35°

User Lukasz Mk
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