From a hot-air balloon, Zoe measures a 37° angle of depression to a landmark that's
1441 feet away, measuring horizontally. What's the balloon's vertical distance above
the ground? Round your answer to the nearest tenth of a foot if necessary.

The horizontal and the vertical make two legs of a right triangle. The given angle is the angle adjacent to the horizontal leg, so the tangent relation applies:

Tan = Opposite/Adjacent

Multiplying by the length of the adjacent leg (the horizontal distance), we have ...

Opposite = Adjacent · Tan

balloon height = (horizontal distance) · tan(angle of depression)

balloon height = (1441 ft)·tan(37°) ≈ 1085.8714 ft

The balloon is about 1085.9 feet above the ground.

From a hot-air balloon, Zoe measures a 37° angle of depression to a landmark that's 1441 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.

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From a hot-air balloon, Zoe measures a 37° angle of depression to a landmark that's
1441 feet away, measuring horizontally. What's the balloon's vertical distance above
the ground? Round your answer to the nearest tenth of a foot if necessary.