SOLUTION: A pilot has just started on the glide path for landing at an airport with a runway of length 9000 feet. The angles of depression from the plane to the ends of the runway are 17.5 d

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Question 875669: A pilot has just started on the glide path for landing at an airport with a runway of length 9000 feet. The angles of depression from the plane to the ends of the runway are 17.5 degree and 18.8 degrees. Find the air distance the plane must travel until touching down on the near end of the runway.
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let ground distance to the near end of runway be x
rhe distance between two ends be 9000
tan17.5 =9000/(x+9000)
x+9000 = 9000/tan 17.5
x= 9000/tan 17.5 - 9000
x=19544
cos 18.5 = 19544/ air distance to touch down
air distance to touch down = 19544/cos 18.5
=20609 feet

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