A state trooper is hidden 30 feet from a highway. One

Chapter 8, Problem 57

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A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle u between the highway and the line of observation from the patrol car to the truck is measured. See the illustration. 30 ft 1 sec PD (a) If the angle measures 15, how fast is the truck traveling? Express the answer in feet per second and in miles per hour. (b) If the angle measures 20, how fast is the truck traveling? Express the answer in feet per second and in miles per hour. (c) If the speed limit is 55 miles per hour and a speeding ticket is issued for speeds of 5 miles per hour or more over the limit, for what angles should the trooper issue a ticket?

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