Hi could someone please help show me how to solve the following two questions, I've spent a couple of hours at these without success.
A search light is 225m from a straight waal. As the beam moves along the wall, the angle between the beam and the perpendicular to the wall is increasing at a rate of 1.5 degree/sec. How fast is the length of the beam increasing when it is 315m long?
The diagram indicates the beam on the ground pointing up to the perpendicular wall and moving across the x axis.
2) A computer is programmed to inscribe a series of rectangles in the first quadrant under the curve of y= e^-x. What is the area of the larget rectangle that can be inscribed?
I know the second question isnt related rate but im still having difficulty solving. Thanks so much for your help its very much appreciated, im lucky to have a forum like this to reach out to.