Question

PLEASE HELP ME PRE CAL/TRIG

The first Ferris Wheel had a diameter of 250 feet and took 10 minutes to complete one full revolution.



a. How many degrees would the Ferris wheel rotate in 100 seconds?



b. How far has a person traveled of he or she has been on the Ferris wheel for 7 minutes?



c. How long would it take for a person to travel 200 feet?



Try to show work :))

Answer 1

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference
`(7)/(10) * (250 pi)` = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

`(250pi)/(10) =(200)/(t)`.

After solving this equation as there is only one unknown which is "t "the answer will be 2.5 minutes.