In a right-angled triangle ABC, the leg AC = 20, and the height CH, the lowered hypotenuse, is 3√39.
| September 2, 2021 | education
In a right-angled triangle ABC, the leg AC = 20, and the height CH, the lowered hypotenuse, is 3√39. Find the cos of the angle CAB.
In a right-angled triangle ACH SinCAH = CH / AC = 3 * √39 / 20.
Then Cos2CAH = 1 – Sin2CAH = 1 – 351/400 = (400 – 351) / 400 = 49/400.
CosCAH = CosCAB = 7/20.
Answer: The cosine of the angle CAB is 7/20.
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