Determine the angles A and B given the following information:
a=15
b=22

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°