ok, the angle of elevation of the sun is decreasing at a rate of 0.25 rad/h. How fast is the shadow cast by a 400 ft-tall building increasing when the angle of elevation is (<pi>/6)? i just cant figure out the equation, i know i should use implicit differentation, but i dont know how to set it up... any help would be awesome ash
use this equation. h= d Tan (theta) differentiate both sides you know (theta) and d(h)/dt, plug that and solve for d(d)/dt.
yes. And I edited the equation. it is actually h = d tan (theta).. use derivative of a product while differentiating right hand side.
Sorry for the confusion, been a long time since I have done problems of this type. Here's how you do it, this time it is clear.
I would help but I dropped out of calculus last semester. Why? Because I'm senior, and I don't have to take that shit! I had all my credits.