Question

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?

Answer 1

Answer:

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 ZH can be determined by using the trigonometric ratios.

Thus, we have;

sin H JI IH

Substituting the values, we get;

sin Η

5 13

Dividing, we get;

sin H 0.3846

Taking sin on both sides, we have;

Hsin-¹ (0.3846)

H = 22.6189

Rounding off to the nearest hundredth,

we get;

H = 22.62°

Thus, the measure of ZH is 22.62°