Triangle abc angle C is 90, BC = 6, sinA = 0.3. find AB.

Given:
right-angled triangle ABC;
angle C = 90;
sin A = 0.3;
BC = 6;
Find: the length of the hypotenuse AB -?
Decision:
Consider a right-angled triangle ABC. The sine of the angle in a right-angled triangle is equal to the ratio of the opposite leg to the hypotenuse. Hence:
sin A = BC / AB;
0.3 = 6 / AB (we express the hypotenuse AB);
AB = 6: 0.3;
AB = 60: 3;
AB = 20 is the length of the hypotenuse.
Answer: AB = 20



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