Question

In ΔGHI, the measure of ∠I=90°, IH = 24, GI = 7, and HG = 25. What is the value of the sine of ∠G to the nearest hundredth?

Answer 1

0.96

Explanation:

Consider right triangle GHI. In this triangle m∠I=90°, IH = 24, GI = 7, and HG = 25.

Use the definition of sine of an angle:

`\sin \angle G=\frac{\text{opposite leg}}{\text{hypotenuse}}\\ \\=(HI)/(HG)\\ \\=(24)/(25)\\ \\=0.96`