1. The problem statement, all variables and given/known data 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 liftoff? 2. Relevant equations 3. The attempt at a solution If we create a diagram, we will see that tan(θ)=(200t^2)/150 or (4t^2)/3 Differentiating with respect to t, sec^2(θ)dθ/dt=8t/3 which becomes dθ/dt=8t/3 * cos^2(θ) At t=4s, tan(θ)=64/3, and then by sinθ=cosθtanθ, we know sinθ=(64/3)cosθ Then by sin^2(θ)+cos^2(θ)=1, we know that cos^2(θ)=9/4105 Now evaluating the derivative at t=4s, we obtain dθ/dt=96/4105 rad/s≈0.0234 rad/s I would just like to know if all my steps are accurate, and if my final answer is correct, or if I made an error along the way, leading to an incorrect result?