Question

Show work if u can please​

Answer 1

Explanation:

Set up a right triangle to reflect the tangent ratio. Tangent is equal to the side opposite the reference angle over the side adjacent to the reference angle. If tangent is 4/3, then the side opposite the reference angle is 4 in length and the side adjacent is 3 in length. The reference angle, just for clarification, is the base angle that is not the right angle. So we have a right triangle with a height of 4 and a base of 3. We need the sin ratio from that. The sin ratio by definition is the side opposite the reference angle over the hypotenuse. But we don't have the hypotenuse. We have to solve for it using Pythagorean's Theorem.

`h^2=4^2+3^2` and

`h^2=16+9` and

`h^2=25` so

h = 5. Now we find the sin ratio to be 4/5 (the side opposite the reference angle over the hypotenuse).