Question

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

Answer 1

9514 1404 393

Answer:

5361 feet

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