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Home > CCG > Chapter 4 > Lesson 4.2.3 > Problem 4-83

4-83.

An airplane takes off and climbs at an angle of . If the plane must fly over a -foot tower with at least  feet of clearance, what is the minimum distance between the point where the plane leaves the ground and the base of the tower?  

  1. Draw and label a diagram for this situation.

  2. What is the minimum distance between the point where the plane leaves the ground and the tower? Explain completely.

How can you use a slope ratio to find the minimum distance?

The slope ratio for  is .

A slope triangle used to represent an airplane taking off and climbing over a 120 ft tower with at least 50 feet of clearance. The slope angle is 11 degrees. The horizontal distance from the plane to the tower is, x.