Question

1. A hot air balloon is being launched, and the takeoff is being filmed with a video camera. The camera is fitted with a 35 mm lens and is positioned 15 m away from the launch point on the ground. In order to maintain a focused image, the cameraman must adjust the position of the lens according to the formula +-=-, where r is the distance from the lens to the film, s is the distance from the lens to the balloon, and f is the focal length of the lens. Find a formula dh for df in terms of h, the height of the balloon, and df Solve this problem using related rates, other methods will not receive full credit. (Hint: Solve the problenm in two stages, one for the distance from the balloon to the camera and another for how this distance affects the focal length.) 2. A company is making a cardboard container in the shape of a rectangle with

Answer 1

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on the both Sieks asith time dt sehishaight oP the balleon