On a windy day, a 30 meter rope tightly secures a hot air balloon to a stake in the ground. From the balloon, the angle of depression of the stake is 62º. Find, to the nearest centimeter, the height of the balloon, assuming the wind to be constant.
sin 62° = height of balloon / length of rope
sin 62° = height of balloon / 30 m
(30 m) ( sin 62°) = height of balloon ≈ 26.49 m ≈ 2649 cm