SOLUTION: An airplane takes off and climbs at an angle of 11 degrees. If the plane must fly over a 120 foot tower with at least 50 feet of clearance, what is the minimum distance between the

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Question 1009084: An airplane takes off and climbs at an angle of 11 degrees. 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?
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x, the distance along the ground from tower base to where (the point) the plane leaves the ground. Distance above the base the minimum the plane can be is 120+50=170 feet.

Right triangle: x, the leg along ground, 11 degrees interior angle where plane leaves the ground, 170 feet, the other leg.

tan%2811%29=170%2Fx

highlight%28170%2Ftan%2811%29=x%29