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 ∠ DPQ to be 25° and then walks off a distance of 1000 feet to R and measures ∠ PRQ to be 15°. What is the distance from P to Q? (see attached photo)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section: Chapter Questions
Problem 75RE
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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 ∠ DPQ to be 25°
and then walks off a distance of 1000 feet to R and measures ∠ PRQ to be 15°.
What is the distance from P to Q?

(see attached photo)

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
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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