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Math Help - Trig derivative applications

  1. #1
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    Trig derivative applications

    Hi,

    I'm having trouble with the following two questions which are applications of trig derivatives:

    1) A rocket is moving into the air with a height function given by h(t) = 200t^2. A camera located 150 m away from the launch site is filming the launch. How fast must the angle of the camera be changing with respect to the horizontal 4 seconds after lift off?



    2) The base of an isosceles triangle is 20 cm and the altitude is increasing at the rate of 1 cm/min. At what rate is the base angle increasing when the area is 100 cm^2?



    I'm very confused with the two question
    [/FONT]s, and am not even sure where to start. Any helpful tips/suggestions would be greatly appreciated..


    Thanks
    Last edited by mr fantastic; June 5th 2010 at 04:42 PM. Reason: Edited post title.
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  2. #2
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    Quote Originally Posted by spoc21 View Post
    Hi,

    I'm having trouble with the following two questions which are applications of trig derivatives:

    1) A rocket is moving into the air with a height function given by h(t) = 200t^2. A camera located 150 m away from the launch site is filming the launch. How fast must the angle of the camera be changing with respect to the horizontal 4 seconds after lift off?



    2) The base of an isosceles triangle is 20 cm and the altitude is increasing at the rate of 1 cm/min. At what rate is the base angle increasing when the area is 100 cm^2?


    1) let \theta = camera angle

    \tan{\theta} = \frac{200t^2}{150}

    take the time derivative and determine the value of \frac{d\theta}{dt} when t = 4

    2) let \theta = base angle

    h = altitude

    \tan{\theta} = \frac{h}{10}

    same drill ... take the time derivative and determine \frac{d\theta}{dt} when A = 100
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