Given: triangle ABC, angle C = 90 degrees, angle A = 41 degrees, BC = 5 cm. Find: AC

univerkov | August 9, 2021 | education

1) AC can be expressed through the tangent of angle A: BC / AC = tan (A), then AC = BC / tan (A).
2) Angle A is 41 °. Find the approximate value tg (A) = tg (41o) on the calculator. We get that tan (A) = tan (41o) ≈ 0.87.
3) Now you can find AC: AC = (5 cm) / (0.87) ≈ 5.75 cm.
ANSWER: 5.75 cm.

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