Viewing angle The bottom of a large theater screen is 3 ft

Chapter 4, Problem 45E

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QUESTION:

Viewing angle The bottom of a large theater screen is 3 ft above your eye level and the top of the screen is 10 ft above your eye level. Assume you walk away from the screen (perpendicular to the screen) at a rate of 3 ft/s while looking at the screen. What is the rate of change of the viewing angle \(\theta\) when you are 30 ft from the wall on which the screen hangs, assuming the floor is flat (see figure)?

           

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QUESTION:

Viewing angle The bottom of a large theater screen is 3 ft above your eye level and the top of the screen is 10 ft above your eye level. Assume you walk away from the screen (perpendicular to the screen) at a rate of 3 ft/s while looking at the screen. What is the rate of change of the viewing angle \(\theta\) when you are 30 ft from the wall on which the screen hangs, assuming the floor is flat (see figure)?

           

ANSWER:

Solution: Step 1 To find What is the rate of change of the viewing angle when you are 30 ft from the wall on which the screen hangs, assuming the floor is flat

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