Calculating Distance Two straight roads diverge at an angle of 65°. Two cars leave the intersection at 2:00 p.m., one traveling at 50 mi/h and the other at 30 mi/h. How far apart are the cars at 2:30 p.m.?
To find: The distance between the two cars at
Answer to Problem 41E
The distance between the two cars at
Explanation of Solution
Given:
The speed of cars are
The diverge angle is
The leaving time of the intersection is
Formula used:
Law of Cosines:
Calculation:
The Distance covered by first and second car in half hour is
Draw a
Sketch the triangle as follows,
Substitute
Simplify further,
Thus, the distance between the two cars at
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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