A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0 between the highway and the line of observation from the patrol car to the truck is measured. See the illustration. Complete parts (a)_(c). ... 30 ft 1 sec: (a) If the angle measures 18°, how fast is the truck traveling? Express the answer in feet per second and in n If the angle measures 18°, the speed of the truck is feet per second. (Do not round until the final answer. Then round to two decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 3E
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A state trooper is hidden 30 feet from a highway. One second after a truck
passes, the angle 0 between the highway and the line of observation from
the patrol car to the truck is measured. See the illustration. Complete parts
(a)_(c).
30 ft
1 sec
(a) If the angle measures 18°, how fast is the truck traveling? Express the answer in feet per second and in miles per hour.
If the angle measures 18°, the speed of the truck is feet per second.
(Do not round until the final answer. Then round to two decimal places as needed.)
8
Transcribed Image Text:A state trooper is hidden 30 feet from a highway. One second after a truck passes, the angle 0 between the highway and the line of observation from the patrol car to the truck is measured. See the illustration. Complete parts (a)_(c). 30 ft 1 sec (a) If the angle measures 18°, how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 18°, the speed of the truck is feet per second. (Do not round until the final answer. Then round to two decimal places as needed.) 8
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