Determining a Distance A surveyor on one side of a river wishes to find the distance between points A and B on the opposite side of the river. On her side she chooses points C and D, which are 20 m apart, and measures the angles shown in the figure below. Find the distance between A and B.
The distance between
Answer to Problem 3P
The distance between
Explanation of Solution
Given:
Label the given figure with
Figure 1
Calculation:
Consider the triangle
In triangle
Use law of sines in
Use law of sines in
In triangle
In triangle
Use law of sines in
Use law of sines in
Thus, the angle
Use law of cosines in
Thus the distance between the points
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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