Question

A right triangle has side lengths 7, 24, and 25 as shown below.

Answer 1

Answer: Cos A  = 0.96, Tan A = 0.29 and Sin A = 0.28

Step-by-step explanation: The right angled triangle can be solved by applying the trigonometric ratios given a follows;

Sin A = opposite/hypotenuse

Cos A = adjacent/hypotenuse

Tan A = opposite/adjacent

In the triangle ABC, the side AB (25) is the hypotenuse [facing the right angle], the side CB (7) is the opposite [facing the reference angle A°] while the side AC (24) is the adjacent [line between the reference angle and the right angle].

Therefore, using angle A as the reference angle;

(a) Cos A = adjacent/hypotenuse

Cos A = AC/AB

Cos A = 24/25

Cos A = 0.96

(b) Tan A = opposite/adjacent

Tan A= CB/AC

Tan A = 7/24

Tan A = 0.29

(c) Sin A = opposite/hypotenuse

Sin A = CB/AB

Sin A  = 7/25

Sin A = 0.28