Find the length of HI to the nearest tenth of a metre. G,H,I7.5m,35degrees.

1 answer

To find the length of side HI, we can use the sine rule.

sin(H) / GH = sin(G) / HI

sin(35) / 7.5 = sin(90 - 35) / HI
0.5736 / 7.5 = 0.5736 / HI
HI = 7.5 / 0.5736
HI ≈ 13.1 meters

Therefore, the length of HI is approximately 13.1 meters.