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Thread: Ralated Rates

  1. November 5th 2012, 12:45 PM #1
    PhizKid
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    Ralated Rates

    A plane flying with a constant speed of 5 km/m passes over a ground radar station at an altitude of 1 km and climbs at an angle of 30 degrees. At what rate is the distance from the plane to the radar station increasing a minute later?



    First of all, I don't know how to determine the sides using the given information. I'm thinking the base of the triangle, but, the triangle doesn't have enough information to solve for it.

    Can I assume the red line bisects the rectangle or not? Otherwise, I don't see what else I have to go on.
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  2. November 5th 2012, 12:50 PM #2
    skeeter
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    Re: Ralated Rates

    law of cosines ...

    r_2^2 = r_1^2 + 1^2 - 2r(1)\cos(120^\circ)
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  3. November 5th 2012, 12:53 PM #3
    PhizKid
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    Re: Ralated Rates

    Ah, never mind, I see it. I was just having trouble with the Law of Cosines. Well, it's easy from there. I just didn't know to use the Law of Cosines
    Last edited by PhizKid; November 5th 2012 at 01:03 PM.
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