The legs of a right-angled triangle are 8 cm and 15 cm. Find the tangent of the angle, which is opposite to the larger leg.
July 28, 2021 | education|
The tangent of an acute angle of a right-angled triangle is the ratio of the opposite leg to the adjacent one. In this triangle with legs AB and AC, which are respectively equal to 8 and 15 cm, the angle opposite to the larger leg is the angle ∠C.
tg C = AB / AC;
tg C = 15/8 = 1.875.
Answer: The tangent of the angle opposite the larger leg is 1.875.
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