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From a hot air balloon 2,500ft above the ground you see a clearing whose angle of depression is at 25 degrees. What is the horizontal distance form the clearing to the nearest feet

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sqdancefan

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Answer:

  5361 feet

Step-by-step explanation:

The tangent of the angle is the ratio of vertical distance to horizontal.

  tan(25°) = (vertical distance)/(horizontal distance)

  horizontal distance = (2500 ft)/tan(25°) ≈ 5361 feet

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