Question

What is the trigonometric ratio for sin Z ?

Enter your answer, as a simplified fraction, in the boxes.

Answer 1

Answer: 3/5

Explanation:

Answer 2

In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.

So, in your case, we have

`\sin(Z) = (XY)/(XZ)`

In order to find XY, we have

`XY = √(XZ^2-YZ^2) = √(1600-1024)=√(576) = 24`

So, the ratio for the sine is

`\sin(Z) = (XY)/(XZ) = (24)/(40) = (3)/(5)`