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Math Help - Amount of sun falling on a lake

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    Amount of sun falling on a lake

    The amount of sunlight falling on each unit of area of a horizontal surface(such as a lake)-which is known as "insolation"- depends on the height of the sun in the sky. It is not unreasonable to suppose that, with t measured in hours from sunrise, d denoting the total hours of daylight, and m the elevation of the sun at noon, the insolation function is given by sin(m)sin((pi*t)/d). Find the average amount of insolation over the course of daylight hours.

    I don't even know where to start so if you have any ideas please let me know
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    Quote Originally Posted by Alice96 View Post
    The amount of sunlight falling on each unit of area of a horizontal surface(such as a lake)-which is known as "insolation"- depends on the height of the sun in the sky. It is not unreasonable to suppose that, with t measured in hours from sunrise, d denoting the total hours of daylight, and m the elevation of the sun at noon, the insolation function is given by sin(m)sin((pi*t)/d). Find the average amount of insolation over the course of daylight hours.

    I don't even know where to start so if you have any ideas please let me know
    average value of a time dependent function ...

    \frac{1}{t_f-t_0} \int_{t_0}^{t_f} f(t) \, dt
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