Results 1 to 2 of 2

Math Help - Problem Solving

  1. #1
    Member Mr Rayon's Avatar
    Joined
    Sep 2007
    Posts
    137

    Red face Problem Solving

    Working from his instruments, a pilot flying at an altitude of 1300 m just above a thick cloudbank decides that his angle of descent to the airport 12km away will be 6.2 degrees. If the cloudbank is 350m thick, how far from the airport will the plane be when it comes out of the cloudbank into clear sky?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Apr 2005
    Posts
    1,631
    Quote Originally Posted by Mr Rayon View Post
    Working from his instruments, a pilot flying at an altitude of 1300 m just above a thick cloudbank decides that his angle of descent to the airport 12km away will be 6.2 degrees. If the cloudbank is 350m thick, how far from the airport will the plane be when it comes out of the cloudbank into clear sky?
    Draw the figure.
    It is a big right triangle whose vertical leg is 1300m, and whose horizontal leg is 12,000m.
    Then in that, draw a horizontal line segment that is 350m from the top.
    Then, at the intersection of the above line segment with the hypotenuse of the big right triangle, drop a vertical line segment to the horizontal leg of the big right triangle. A smaller right triangle is formed here whose vertical leg is (1300 -350) = 950m and whose horizontal leg is , say, x meters.
    This x is what you are looking for.

    The big right triangle and the said smaller right triangle are similar, hence proportional.
    By proportion,
    (vertical leg)/(horizontal leg) of big right triangle = (vertical leg)/(horizontal leg) of smaller right triangle
    1300/12,000 = 950/x
    Cross multiply,
    1300*x = 12,000*950
    x = 12,000*950 /1300 = 8769m ----------answer.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help solving a problem.
    Posted in the Algebra Forum
    Replies: 0
    Last Post: August 13th 2011, 06:37 AM
  2. Further Problem Solving
    Posted in the Algebra Forum
    Replies: 3
    Last Post: March 18th 2010, 03:42 AM
  3. Problem Solving
    Posted in the Algebra Forum
    Replies: 2
    Last Post: June 19th 2008, 04:56 PM
  4. Need help in solving a problem
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 18th 2008, 04:02 AM
  5. Problem Solving
    Posted in the Math Topics Forum
    Replies: 2
    Last Post: May 17th 2008, 08:25 AM

Search Tags


/mathhelpforum @mathhelpforum