Mathematics, 05.12.2019 21:31 misskylie2003
For the amusement of the guests, some hotels have elevators on the outside of the building. one such hotel is 300 feet high. you are standing by a window 100 feet above the ground and 150 feet away from the hotel, and the elevator descends at a constant speed of 30 ft / sec , starting at time t = 0 , where t is time in seconds. let θ be the angle between the line of your horizon and your line of sight to the elevator. (a) find a formula for h(t), the elevator's height above the ground as it descends from the top of the hotel h(t) 300-25t (b) using your answer to part (a), express θ as a function of time e. find the rate of change of θ with respect to t. de dt to you to be moving. at what time does the elevator appear to be moving fastest? the rate of change of θ is a measure of how fast the elevator appears time tc) seconds at what height does the elevator appear to be moving fastest?
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