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Find the measure of the indicated angle to the nearest degree.

A) 16°
C) 65°
B) 23°
D) 18°

Find the measure of the indicated angle to the nearest degree. A) 16° C) 65° B) 23° D-example-1

1 Answer

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Answer:

C) 65°

Explanation:

The relevant trig relation is ...

Cos = Adjacent/Hypotenuse

cos(?) = 25/59

? = arccos(25/59) ≈ 64.93°

The indicated angle is about 65°.

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You can see that the figure is drawn approximately to scale and that the angle is more than 45°. (The unmarked leg is longer than the given leg.) The only answer choice that is more than 45° is the one shown above.

User Mahmoud Fayez
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