SOLUTION: Jamie rides a Ferris wheel for five minutes. The diameter of the wheel is 10 meters, and its center is 6 meters above the ground. Each revolution of the wheel takes 30 seconds. B

Algebra ->  Length-and-distance -> SOLUTION: Jamie rides a Ferris wheel for five minutes. The diameter of the wheel is 10 meters, and its center is 6 meters above the ground. Each revolution of the wheel takes 30 seconds. B      Log On


   

Question 1079524: Jamie rides a Ferris wheel for five minutes. The diameter of the wheel is 10 meters,
and its center is 6 meters above the ground. Each revolution of the wheel takes 30 seconds.
Being more than 9 meters above the ground enables Jamie to see the ocean. For how many
seconds does Jamie see the ocean?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
We want to know the fraction of the wheel's edge that is more than 9 meters above the ground.
The small arc between points P and Q represents the part of the ride when Jamie sees the ocean.
AB=9m-6m=3m , and AP=10m%2F2=5m is the radius of the wheel.
So, in right triangle BAP,
cos%28BAP%29=AB%2FAP=3%2F5=0.6 ---> BAP=about53.13%5Eo (approximately
PAQ=about2%2A53.13%5Eo=106.26%5Eo
The fraction of each revolution that Jamie is between P and Q is
106.26%5Eo%2F360%5Eo=106.26%2F360 .
5+minutes=5%2A60seconds, so the time that Jamie sees the ocean is
5%2A60seconds%28106.26%5Eo%2F360%5Eo%29=88.55seconds