1. Finding the Height of an Airplane. An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each This module is a property of Technological University of the Philippines Visayas intended for EDUCATIONAL PURPOSES ONLY and is NOT FOR SALE NOR FOR REPRODUCTION. 91 observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane?
1. Finding the Height of an Airplane. An aircraft is spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining them, each This module is a property of Technological University of the Philippines Visayas intended for EDUCATIONAL PURPOSES ONLY and is NOT FOR SALE NOR FOR REPRODUCTION. 91 observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. How high is the airplane?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Concept explainers
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.
Question
Finding the Height of an Airplane.
An aircraft is spotted by two observers
who are 1000 feet apart. As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in
the figure. How high is the airplane?
(see attached photo)
Transcribed Image Text:III.
PROBLEM SOLVING
1. Finding the Height of an Airplane. An aircraft is spotted by two observers
who are 1000 feet apart. As the airplane passes over the line joining them, each
This module is a property of Technological University of the Philippines Visayas intended
for EDUCATIONAL PURPOSES ONLY and is NOT FOR SALE NOR FOR REPRODUCTION.
91
observer takes a sighting of the angle of elevation to the plane, as indicated in
the figure. How high is the airplane?
35
1000 ft
Source: Sullivan, (2012), Algebra
and Trigonometry 9th Edition
2. Finding the Length of a Ski Lift Consult the figure. To find the length of the
span of a proposed ski lift from P to Q, a surveyor measures z DPQ to be 25°
and then walks off a distance of 1000 feet to R and measures 2 PRQ to be 15°.
What is the distance from P to Q?
15
1000 ft
Source: Sullivan, (2012), Algebra
and Trigonometry 9th Edition
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