Question

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
𝐴
, rounded to the nearest whole degree.

(1 point)
Responses

67°
67°

21°
21°

23°
23°

43°

Answer 1

Opposite side to angle A is BC = 12 and adjacent is AC = 5 (it's a 5-12-13 right triangle).

m∠A = arctan(opposite/adjacent) = arctan(12/5) ≈ arctan(2.4) ≈ 67°.

Answer: 67°.