a.
To find: The polar equations that models the possible positions of a passenger car.
a.
Answer to Problem 87E
Explanation of Solution
Given information:
The passengers enter a car at
Since the passenger enters the car at
Therefore, the polar equation will be:
which represents a circle with radius = 30 ft
b.
To find: The coordinate after 15 seconds of rotation.
b.
Answer to Problem 87E
Explanation of Solution
Given information:
The time of rotation is 15 seconds.
Starting from the bottom
The Ferris wheel will rotate at an angle of
So, therefore the position’s angle in standard position is:
Therefore, the coordinate will be:
c.
To find: To convert the point obtained in (b) into rectangular coordinates.
c.
Answer to Problem 87E
Explanation of Solution
Given information:
The polar coordinate is
We know that,
Therefore, the rectangular coordinate is
i.e.
This means that the car is 25.98 feet to the left of the center and 15 feet above the center since the center corresponds to the origin.
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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