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 º 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

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter56: Arcs And Angles Of Circles, Tangent Circles
Section: Chapter Questions
Problem 31A: Solve the following exercises based on Principles 18 through 21, although an exercise may require...
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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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