In triangle ABC, angle C is 90 degrees, tg A = 0.75. Find sin A?

univerkov | August 3, 2021 | education

tgА = 0.75 = 3/4.

Let the length of the leg BC = 3 * X cm, then the length of the leg AC = 4 * X cm.

By the Pythagorean theorem, AB ^ 2 = BC ^ 2 + AC ^ 2 = 9 * X ^ 2 + 16 * X ^ 2 = 25 * X ^ 2.

AB = 5 * X ^ 2.

Then SinA = BC / AB = 3 * X / 5 * X = 3/5 = 0.6.

Answer: SinBAC = 0.6.

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