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I need to solve this to get θ can you help?

I need to solve this to get θ can you help?-example-1
User Mholstege
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1 Answer

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Since the triangle is a right triangle , We can apply the trigonometric function.

Sin θ = opposite side / hypotenuse

Where the hypotenuse is the longest side of the triangle (32) and the opposite side to θ is 23.

Replacing:

Sin θ = 23/32

Solve for θ

θ = arc sin 23/32

θ = 45.95°

User Chirag
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4.7k points