In triangle ABC, angle C is 90 °, BC = 6, sin A = 0.3. Find AB.

Given:
ABC – right triangle;
Angle C = 90 degrees;
BC = 6;
sin A = 0.3;
Find AB.
Decision:
In order to find the hypotenuse AB of the triangle ABC, we use the formula:
sin A = BC / AB.
Hence, AB = BC / sin a;
Substitute the known values into the formula and find the hypotenuse AB.
AB = 6 / 0.3 = 6 / (3/10) = 6/1 * 10/3 = 2 * 3 * 10/3 = 2 * 1 * 10/1 = 2 * 10 = 20;
Answer: AB = 20.