9514 1404 393
Answer:
42.7 ft
Step-by-step explanation:
The applicable trig relation is ...
Tan = Opposite/Adjacent
In this geometry, the leg of the right triangle adjacent to the angle of elevation is the horizontal distance to the balloon. The opposite leg is the vertical height of the balloon, which we're being asked to find.
tan(66°) = height/(19 ft)
height = (19 ft)tan(66°) ≈ 42.67 ft
The height of the balloon is about 42.7 feet.