Answer:
B ≈ 55. 71°
A = 34.29°
Step-by-step explanation:
The picture demonstrate on how you could solve the angles of A and B in a triangle with a given sides a and b. Angle C is a 90° .That makes the triangle a right angle triangle.
Let us find angle B
using SOHCAHTOA principle
tan B = opposite.adjacent
tan B = b/a
tan B = 22/15
tan B = 1.46666666667
B = tan⁻¹ 1.46666666667
B = 55.7131230228 °
B ≈ 55. 71°
Let us find angle A
The sum of angle in a triangle = 180° Therefore, the angle A can be solved when you subtract angle C and B from 180°.
angle A = 180° - 90° - 55.71°
angle A = 34.29°
