Question

Use the image to answer the question.

A right triangle upper A upper B upper C. The right angle, labeled B, is on the bottom left. The hypotenuse, side upper A upper C, slopes downward left to right. All sides are assigned values.
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Use the inverse of tangent to solve for the approximate angle measure of vertex C
, rounded to the nearest whole degree.

(1 point)
Responses

53°
53°

59°
59°

37°
37°

39°

Answer 1

tan(C) = opposite/adjacent = AB/BC = 3/4, so C = arctan(3/4) ≈ 36.87°, which rounds to 37°.