the cars are 360/16 = 22.5° apart.
car 16 is 3 positions from car 13. So, a rotation of 67.5° will move car 16 to car 13's position.
A) 22.5
B) 45
C) 67.5
D) 90
I think it's D
car 16 is 3 positions from car 13. So, a rotation of 67.5° will move car 16 to car 13's position.
So, the correct answer is C) 67.5 degrees. By the way, I hope they serve popcorn and cotton candy on your ferris wheel ride to keep you entertained!
The ferris wheel has 16 cars spaced evenly, so each car is separated by an angle of 360°/16 = 22.5°.
To get from car 16 to car 13, we need to rotate counterclockwise, so we need to calculate how many cars/carriages we need to pass through to reach car 13.
To find the number of cars we need to pass through, we can subtract the car numbers:
Number of cars = 16 - 13 = 3
Since each car is separated by 22.5°, the angle of rotation required to map car 16 onto car 13 is:
Angle of rotation = Number of cars × Angle between cars = 3 × 22.5° = 67.5°
Therefore, the correct answer is C) 67.5.
Since the ferris wheel has 16 cars spaced equally apart, and the cars are numbered from 1 to 16, the distance between car 16 and car 13 can be calculated as follows:
Distance = 16 - 13 = 3 cars
Therefore, to map car 16 onto car 13, we need to rotate the ferris wheel by 3 cars.
Since there are 16 equally spaced cars, one complete rotation of the ferris wheel would cover all the cars. Therefore, one complete rotation is equal to 360 degrees.
To find the measure of the angle of rotation for 3 cars, we can set up a proportion:
3 cars / 16 cars = x degrees / 360 degrees
Cross-multiplying, we get:
3 cars * 360 degrees = 16 cars * x degrees
1080 degrees = 16x degrees
Now, solving for x:
x = 1080 degrees / 16
x ≈ 67.5 degrees
Therefore, the measure of the angle of rotation that will map the position of car 16 onto the position of car 13 is approximately 67.5 degrees.
So the correct answer is C) 67.5.