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In ΔOPQ, the measure of ∠Q=90°, QO = 61 feet, and OP = 83 feet. Find the measure of ∠O to the nearest tenth of a degree.

Respuesta :

Answer:

∠ O ≈ 42.7°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos O = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QO}{OP}[/tex] = [tex]\frac{61}{83}[/tex] , thus

∠ O = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{83}[/tex] ) ≈ 42.7° ( to the nearest tenth )

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