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). 2. If the angle 0 measures 24° , 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?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.1: The Law Of Sines
Problem 36PS
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How do I solve question 2,a,b

Group Problem 4
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).
2. If the angle 0 measures 24° , 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?
Transcribed Image Text:Group Problem 4 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). 2. If the angle 0 measures 24° , 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?
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