Question

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=31°, and IG = 6.3 feet. Find the length of HI to the nearest tenth of a foot.

Answer 1

To find the length of HI in triangle GHI, you can use the sine function. HI = IG * sin(G). Substituting the given values, HI is approximately 3.1 feet.

Step-by-step explanation:

To find the length of HI in triangle GHI, you can use the sine function. The sine of angle G is equal to the opposite side (HI) divided by the hypotenuse (IG). Rearranging the equation, you get HI = IG * sin(G). Substituting the given values, HI = 6.3 * sin(31°). Calculating this, HI is approximately 3.1 feet.