Question

(0 points)

4A is an acute angle in a right triangle.
If cos A = 15/17, find the ratio for the sin A.
Explain how you solved the problem in 2-3 sentences or show your steps.

Answer 1

sin A = 8/17.

Explanation:

As cos A = 15/17 one leg of the triangle = 15 and the hypotenuse = 17.

The side length 15 is the adjacent side to angle A.

First find the length of other side of the right triangle, using the Pythagoras

Theorem:

Opposite side to ange A = √(17^2 - 15^2)

= √64

= 8 units.

sin A = opp side / hyp

= 8/17.