Question

In ΔXYZ, the measure of ∠Z=90°, XZ = 63, ZY = 16, and YX = 65. What ratio represents the sine of ∠X?

Answer 1

Answer:16/65

Explanation:

Answer 2

The value of sine of ∠X is 0.2461

Explanation:

We are given the following in the question:

`\triangle XYZ`

∠Z = 90°

XZ = 63, ZY = 16, and YX = 65

We have to find the ration of sine of ∠X.

Relation:

`\sin (x) = \frac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\=(ZY)/(YX)\\\\=(16)/(65) = 0.2461`

The attached image shows the triangle.

The value of sine of ∠X is 0.2461