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calculus

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A hot air balloon rising straight up form a level field is tracked by a range finder 500ft from the liftoff point. At the moment the range finders elevation ange is pi/4, the angle is increasing at 0.14 rad/min. How fast is the balloon rising at that moment?

  • calculus -

    h/500 = tan Ø
    h = 500 tan Ø
    dh/dt = 500sec^2 Ø dØ/dt

    sub in the given information

  • calculus -

    the answer is 140 m/sec

    you can view the answer at
    this is a website, it wont let me post
    hutch.k12.mn.us/userFiles/

    File/4.6_Related_Rates_Day_1_c

    .pdf

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