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

Answer:

0.96

Step-by-step 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:

$\sin \angle G=\dfrac{\text{opposite leg}}{\text{hypotenuse}}\\ \\=\dfrac{HI}{HG}\\ \\=\dfrac{24}{25}\\ \\=0.96$