Given a triangle ABC angle = 90 degrees AC = 24 BC = 7 Find the sine of angle A.
| August 10, 2021 | education
Using the Pythagorean theorem, determine the hypotenuse of the triangle AB.
AB ^ 2 = AC ^ 2 + BC ^ 2;
AB ^ 2 = 24 ^ 2 + 7 ^ 2;
AB = √625;
AB = 25.
Define Sin A. The sine of angle A is the ratio of the opposite leg of the triangle to the hypotenuse.
Sin A = BC / AB = 7/2 = 0.28.
Answer: Sin A = 0.28.
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