CPM Homework Help : INT2 Problem 4-94

An airplane takes off and climbs at an angle of $11^\circ$ . If the plane must fly over a $120$ -foot tower with at least $50$ feet of clearance, what is the minimum distance between the point where the plane leaves the ground and the base of the tower?

Draw and label a diagram for this situation.
What is the minimum distance between the point where the plane leaves the ground and the tower? Explain completely

Hint 1:

Hint 2:

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

More Help:

The slope ratio for $11^\circ$ is $\frac{1}{5}$ .

A right triangle, hypotenuse labeled airplane take off, with arrow going up & right, horizontal leg labeled, x, angle opposite vertical leg labeled 11 degrees, vertical leg has 2 sections, lower labeled tower, 120 feet, upper labeled, 50 feet.