In triangle ABC, angle C is 90 degrees AB = 15. sinA = 0.6 Find AC.
| September 8, 2021 | education
In a right-angled triangle, the sine of its acute angle is equal to the ratio of the length of its opposite leg to the length of the hypotenuse.
Then SinBAC = BC / AB;
BC = AB * CosABC = 15 * 0.6 = 9 cm.
By the Pythagorean theorem, we determine the length of the kata AC.
AC ^ 2 = AB ^ 2 – BC ^ 2 = 225 – 81 = 144.
AC = 12 cm.
Answer: AC = 12 cm.
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