Sin and Tan

Question

In triangle ABC, angle C is a right angle, AB=18 and AC= 12. Find sin A and tan B to the nearest hundredth

Answer 1

Draw a picture of the triangle to help visualize the question.

To find length of the 3rd side, use the Pythagorean theorem.

a² + 12² = 18²

a² + 144 = 324

- 144. -144

a² = 180

a = 6√5

BC = 6√5

sin A = (6√5)/18 = √5/3 = 0.75

tan B = 12/(6√5) = 2/√5 = 0.89