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Math Help - Triangle Problem

  1. #1
    Newbie
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    Nov 2009
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    Triangle Problem

    A balloon rises at a rate of 10 feet per
    second from a point on the ground 100 feet from an observer.
    a) Find the distance from the observer to
    the balloon when the balloon is 50
    feet off the ground.
    b) After another 5 seconds have passed,
    find the distance from the observer to
    the balloon. Re-draw the figure to
    illustrate this new situation.
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  2. #2
    Senior Member
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    Jul 2009
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    Singapore
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    use Pythagoras' theorem
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  3. #3
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    Quote Originally Posted by JaredMims View Post
    A balloon rises at a rate of 10 feet per second from a point on the ground 100 feet from an observer.
    a) Find the distance from the observer to the balloon when the balloon is 50 feet off the ground.
    b) After another 5 seconds have passed, find the distance from the observer to
    the balloon. Re-draw the figure to illustrate this new situation.
    a) Draw a right triangle, with the height being the distance above the ground and the base being the distance along the ground from the observer. Use the Pythagorean Theorem to find the hypotenuse, being the line-of-sight distance from the observer.

    b) How many feet does the balloon rise in one second? So how far has it risen in five seconds? So what is the new height?

    Draw a new right triangle with this new height, and follow the same procedure to find the new distance.
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