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. 1 sec 30 ft 1. If the angle 0 measures 15° , how fast is the truck traveling? (a) What is the speed of the truck in feet per second? (b) What is the speed of the truck in miles per hour? (Hint: There are 5280 feet per mile and 3600 seconds per hour).

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
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Chapter7: Triangles
Section7.1: The Law Of Sines
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how do I solve question 1,a, and b

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
1 sec
30 ft
measured. See the illustration.
1. If the angle 0 measures 15° , how fast is the truck traveling?
(a) What is the speed of the truck in feet per second?
(b) What is the speed of the truck in miles per hour? (Hint: There are 5280 feet per
mile and 3600 seconds per hour).
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 1 sec 30 ft measured. See the illustration. 1. If the angle 0 measures 15° , how fast is the truck traveling? (a) What is the speed of the truck in feet per second? (b) What is the speed of the truck in miles per hour? (Hint: There are 5280 feet per mile and 3600 seconds per hour).
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