In triangle ABC, angle C = 90, CD height = 4 cm, AC = 8cm. What is the angle CAB.

univerkov | June 15, 2021 | education

1. Calculate the length of the leg of the unknown aircraft. To perform the calculation, we use the formula of the Pythagorean theorem:

BC = √AB² – AC² = √15² – 9² = √225 -81 = √144 = 12 units.

2. Find tg ∠В (tangent) – the ratio of the AC leg, located opposite the specified angle, to the AC leg, which is a side of this angle (adjacent):

tg ∠В = АС / ВС = 9/12 = 3/4.

Answer: tangent ∠B = 3/4.

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