here's the problem;
"Suppose an observer is on top of a skyscraper that is 1000 ft. If a car is moving away from the base of the skyscraper at a constant speed of 40 ft/sec, how fast is the distance from the observer to the car increasing when the car is 500 ft from the skyscraper?"
so far, i have the equation which i was going to differentiate but i dont know if thats right. please someone help me to do this..
"a is the straight line distance from the top of the skyscraper and c is the distance from the base of the skyscraper to the car."
Once you have said that then you can use the Pythagorean theorem to say that . Yes, differentiate both sides of that and remember that you know dc/dt and are trying to find da/dt.