We have a right triangle. We know the hypotenuse (75 ft) and an angle of 35°. We need to find the opposite leg to the angle of 35° (h). The trigonometric function that relates the opposite leg to an angle with the hypotenuse is sine: sin 35° = (Opposite leg to 35°) / hypotenuse sin 35° = h/(75 ft)
Solving for h: (75 ft) sin 35°=h h=75 sin 35° ft h=75 (0.573576436) ft h=43.01823270 ft h=43 ft
Answer: T<span>he bottom of the balloon is 43 ft from the ground</span>