math/geometry

posted by .

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 causes Jamie to suffer an anxiety attack. For
how many seconds does Jamie feel uncomfortable?

  • math/geometry -

    draw a triangle from the diameter horizontal, up from the horizontal 3m to intersect the circle, then the hyp is the radius back to the center.

    h=3m so 3/5 = sinTheta theta= 36.8deg

    So the person is below nine meters then the bottom 180deg, and the top each side 36.8 deg, or a total of 253.7 deg, or
    253.7/360 percent of the time.

    time above= 5min*253.7/360

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math

    A ferris wheel is 30 meters in diameter and boarded in the six o'clock position from a platform that is 10 meters above the ground. The wheel completes one full revolution every 10 minutes. At the initial time t=0 you are in the twelve …
  2. Trig

    A Ferris wheel is 40 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 2 minutes. …
  3. precalculus

    A ferris wheel is 20 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 10 minutes. …
  4. Pre-Cal

    A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 7 …
  5. Pre-Cal

    A Ferris wheel is 50 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every 9 …
  6. precalculus

    A Ferris wheel is 10 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 4 minutes. …
  7. Math

    Here is the question : A Ferris wheel is 40 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full …
  8. math trig

    A Ferris wheel with a diameter of 37 meters rotates at a rate of 4 minutes per revolution. Riders board the Ferris wheel 4 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts. Write …
  9. n

    A ferris wheel is 20 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. …
  10. math-precalculus

    A Ferris wheel is 50 meters in diameter and boarded from a platform that is 1 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes 1 full revolution in 6 minutes. …

More Similar Questions