Question

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

A) 16°
C) 65°
B) 23°
D) 18°

Answer 1

9514 1404 393

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.