Answer:
125.25 ft
Step-by-step explanation:
The geometry of the problem can be modeled by a right trianlge in which the side adjacent to the angle is 310 ft, and the side opposite the angle is the one we want to find. The relevant trig relation is ...
Tan = Opposite/Adjacent
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Solving for the Opposite side (the height of the balloon), we find ...
Opposite = Adjacent · Tan
height = (310 ft)·tan(22°) ≈ 125.25 ft
Enola's balloon is about 125.25 ft above the ground.
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Additional comment
If we assume Enola's angle measurement can have a possible error of ±0.5°, then the corresponding error in the balloon height is more than ±3 ft. It is a bit of nonsense to report the height to the nearest 0.12 inches, (0.01 ft).
