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.

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.

Thus:

tg C = AB / AC;

tg C = 15/8 = 1.875.

Answer: The tangent of the angle opposite the larger leg is 1.875.