Question

Use the image to answer the question.

A right triangle upper A upper B upper C. The right angle, labeled upper C, is on the bottom left. The hypotenuse, side upper A upper B, slopes downward from right to left. All sides are assigned values.
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Side upper A upper B is labeled 13. Side upper B upper C is labeled 12. Side upper C upper A is labeled 5.


Use the inverse of tangent to find the approximate measure of angle A
, rounded to the nearest whole degree.

(1 point)
Responses

21°
21°

67°
67°

43°
43°

23°
23°
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Answer 1

Angle A has opposite side 12 and adjacent side 5, so
A = arctan(12/5) ≈ arctan(2.4) ≈ 67.4°.
Rounded to the nearest degree: 67°.