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Math Help - Calculus Word Problem

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    Calculus Word Problem

    A plane flies horizontally at an altitude of 6 km and passes directly over a tracking telescope on the ground. When the angle of elevation is pie/3, this angle is decreasing at a rate of pie/6 rad/min. How fast is the plane traveling at that time? (Round your answer to two decimal places.)
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  2. #2
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    Quote Originally Posted by kashifzaidi View Post
    A plane flies horizontally at an altitude of 6 km and passes directly over a tracking telescope on the ground. When the angle of elevation is pie/3, this angle is decreasing at a rate of pie/6 rad/min. How fast is the plane traveling at that time? (Round your answer to two decimal places.)
    did you make a sketch ?

    let x = horizontal distance the plane travels

    \cot{\theta} = \frac{x}{6}

    take the derivative w/r to time, substitute in your given and calculated values, then determine the value of \frac{dx}{dt}


    btw, this is pie ...




    this is pi ...

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