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Math Help - Hot-Air Balloon

  1. #1
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    Hot-Air Balloon

    A hot-air balloon, headed east at an average speed of 15 miles per hour and at a constant height of 100 feet, passes over an intersection. Find an expression for the distance d (measured in feet) from the balloon to the intersection t seconds later.

    MY WORK:

    d(t) = 15t

    Is this correct?

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  2. #2
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    No.
    When it becomes over the intersection, it's distance from the balloon to the intersection is 100m. t seconds later, it will travel some horizontal distance given by 15t. A right-triangle is formed, with legs of 15t and 100. What is the hypotenuse?

    You will get a function that gives the distance in miles. Recall that 1 mile = 5280 feet.
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  3. #3
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    Are you....

    Quote Originally Posted by Chop Suey View Post
    No.
    When it becomes over the intersection, it's distance from the balloon to the intersection is 100m. t seconds later, it will travel some horizontal distance given by 15t. A right-triangle is formed, with legs of 15t and 100. What is the hypotenuse?

    You will get a function that gives the distance in miles. Recall that 1 mile = 5280 feet.
    Are you saying to use the Pythagorean Theoem and that after finding the hypotenuse, I will know the answer?
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  4. #4
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    Yes.

    Note that the time t should be in hours.
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  5. #5
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    ok

    Quote Originally Posted by Chop Suey View Post
    Yes.

    Note that the time t should be in hours.
    I'll tackle this one later.

    Thanks
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