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Math Help - related rates problem

  1. #1
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    related rates problem

    Two sides of a triangle have lengths 9 m and 10 m. The angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 60.

    A=\frac{1}{2}bh

    \frac{dA}{dt}=\frac{1}{2}[h\frac{db}{dt} +b \frac{dh}{dt}]

    \frac{dx}{dt}= .06

    How do I relate relate area to the angle?
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  2. #2
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    Quote Originally Posted by hazecraze View Post
    Two sides of a triangle have lengths 9 m and 10 m. The angle between them is increasing at a rate of 0.06 rad/s. Find the rate at which the area of the triangle is increasing when the angle between the sides of fixed length is 60.

    A=\frac{1}{2}bh

    \frac{dA}{dt}=\frac{1}{2}[h\frac{db}{dt} +b \frac{dh}{dt}]

    \frac{dx}{dt}= .06

    How do I relate relate area to the angle?
    you should have learned this in trig ...

    A = \frac{1}{2}ab\sin{\theta}
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