In ΔHIJ, the measure of ∠J=90°, JI = 5, IH = 13, and HJ = 12. What is the value of the sine of ∠H to the nearest hundredth?

Given:

Given that HIJ is a right triangle.

The measure of ∠J is 90°, JI = 5, IH = 13, and HJ = 12.

We need to determine the value of sine of ∠H

Value of sine ∠H:

The value of sine ∠H can be determined by using the trigonometric ratios.

Thus, we have;

Substituting the values, we get;

Dividing, we get;

Taking on both sides, we have;

Rounding off to the nearest hundredth, we get;

Thus, the measure of ∠H is 22.62°

step-by-step explanation: