Answer:
∠A = tan⁻¹ (35/12) ≅ 71.075 ° or 1.24 radians
Explanation:
Since this is a right angled triangle, then we can use basic trigonometry to solve for ∠A.
We have the measure of the side opposite (35) and adjacent (12) to ∠A.
Since tan(x) = opp/adj
then tan (∠A) = 35/12
∴ ∠A = tan⁻¹ (35/12) [by taking the tan⁻¹ of both sides of the eq]
∠A ≅ 71.075 ° or 1.24 radians