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3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57° respectively. If the people are 4.5 miles apart, how far is the plane from each person?

3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57° respectively. If the people are 4.5 miles apart, how far is the plane from each person?

Advanced Engineering Mathematics
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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Solve the following problems. 1. Two towers are 25 miles apart, tower A being due north of tower B. A fire is spotted from the towers, and its bearing from tower A and tower B are S 59 ° E and N 38 ° E respectively. How far is the fire from tower B? 2. Radar stations are positioned 12.5 miles away from one another on an east-west line. A signal from a radio transmitter is found on ring N 38 ° E from station A and N 56 ° W from tower B. Find the distance from tower B to the radio transmitter. 3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57° respectively. If the people are 4.5 miles apart, how far is the plane from each person?
Transcribed Image Text:Solve the following problems. 1. Two towers are 25 miles apart, tower A being due north of tower B. A fire is spotted from the towers, and its bearing from tower A and tower B are S 59 ° E and N 38 ° E respectively. How far is the fire from tower B? 2. Radar stations are positioned 12.5 miles away from one another on an east-west line. A signal from a radio transmitter is found on ring N 38 ° E from station A and N 56 ° W from tower B. Find the distance from tower B to the radio transmitter. 3. Two people spot an airplane in the sky between them at angles of elevation of 42° and 57° respectively. If the people are 4.5 miles apart, how far is the plane from each person?
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