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:

The value of sine of ∠X is 0.2461  

Step-by-step 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:

$\sin (x) = \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\=\dfrac{ZY}{YX}\\\\=\dfrac{16}{65} = 0.2461$

The attached image shows the triangle.

The value of sine of ∠X is 0.2461