Une 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). Pr 1 sec |30 ft (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 (Do not round until the final answer. Then round to two decimal places as needed.) 92.33 feet per second. If the angle measures 18°, the speed of the truck is (Use the answer from part (a) to find this answer. Round to one decimal place as needed.) 63.0 miles per hour. (b) If the angle measures 25", how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 25", the speed of the truck is (Do not round until the final answer. Then round to two decimal places as needed.) feet per second. If the angle measures 25°, the speed of the truck is (Use the answer from part (b) to find this answer. Round to one decimal place as needed.) 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? The trooper should issue a ticket when the angle is equal to or less than (Round to the nearest tenth as needed.) fe
Une 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). Pr 1 sec |30 ft (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 (Do not round until the final answer. Then round to two decimal places as needed.) 92.33 feet per second. If the angle measures 18°, the speed of the truck is (Use the answer from part (a) to find this answer. Round to one decimal place as needed.) 63.0 miles per hour. (b) If the angle measures 25", how fast is the truck traveling? Express the answer in feet per second and in miles per hour. If the angle measures 25", the speed of the truck is (Do not round until the final answer. Then round to two decimal places as needed.) feet per second. If the angle measures 25°, the speed of the truck is (Use the answer from part (b) to find this answer. Round to one decimal place as needed.) 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? The trooper should issue a ticket when the angle is equal to or less than (Round to the nearest tenth as needed.) fe
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
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Transcribed Image Text:Une 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).
Pr
1 sec
30 ft
(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
(Do not round until the final answer. Then round to two decimal places as needed.)
92.33
feet per second.
If the angle measures 18°, the speed of the truck is
(Use the answer from part (a) to find this answer. Round to one decimal place as needed.)
63.0
miles per hour.
(b) If the angle measures 25", how fast is the truck traveling? Express the answer in feet per
second and in miles per hour.
If the angle measures 25", the speed of the truck is
(Do not round until the final answer. Then round to two decimal places as needed.)
feet per second.
miles per hour.
If the angle measures 25°, the speed of the truck is
(Use the answer from part (b) to find this answer. Round to one decimal place as needed.)
(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?
e
The trooper should issue a ticket when the angle is equal to or less than
(Round to the nearest tenth as needed.)
fe
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