Calculating Distance A car travels along a straight road, heading east for 1 h, then traveling for 30 min on another road that leads northeast. If the car has maintained a constant speed of 40 mi/h, how far is it from its starting position?
To find: The distance between the starting and the ending point of the car.
Answer to Problem 42E
The distance between the starting and the ending point of the car is
Explanation of Solution
Given:
The constant speed of car is
The car travel in east direction for
Formula used: Law of Cosines.
Calculation:
The distance covered by the car in
Let, the angle between east direction and north-east direction is
Draw a
Figure (1)
The sum of the angles on one side of a straight line is
The
Substitute
Simplify the above expression by taking square root to each side,
Thus, the distance between the starting and the ending point of the car is
Chapter 6 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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