Question

A Ferris wheel has a diameter of 225 feet. If a passenger gets in a car and travels 38 feet when the wheel stops to let more passengers on, find the angle of rotation to the nearest

Answer 1

To the nearest degree?

Draw it :)



In this case, they give you arc length, you are solving for the angle

\(s=2\pi r (\dfrac{\theta}{360})\)

s = arc length = 38

radius is diameter / 2 which in this case is \(\dfrac{225}{2}\)

We solve for greek letter


\(38=2\pi (112.5)(\dfrac{\theta}{360})\)

Answer 2

112.5 is r

Answer 3

Yes

Answer 4

Greek letter is 38?

Answer 5

We are solving for greek letter this time

\(38=2\pi (112.5)(\dfrac{\theta}{360})\)

Answer 6

Oh

Answer 7

What do I do with the 38?

Answer 8

Its equal to all of that

\(\color{red}{38}=2\pi (112.5)(\dfrac{\theta}{360})\)

Answer 9

o.0

Answer 10

So I divide instead?

Answer 11

Divide by 2 pi (112.5) and multiply 360 by 38

\(\dfrac{38\cdot 360}{2\pi (112.5)}=\theta\)

Answer 12

I see what you're saying

Answer 13

38/ 2pi(112.5)?

Answer 14

Yes and multiply by 360

Answer 15

6715.15 ?

Answer 16

Hmm no

Answer 17

Make sure you put everything correctly s:

Answer 18

19.35

Answer 19

Yesss


Does it ask you to round to the nearest what though

Answer 20

!!!

Answer 21

It got cut off

Answer 22

Omg it's all wrong because I didn't put measurements

Answer 23

Oh you're joking

Answer 24

Omg

Answer 25

Boiii