Trig

The seats of a Ferris wheel are 40 feet from the​ wheel's center. When you get on the​ ride, your seat is 6 feet above the ground. How far above the ground are you after rotating through an angle of 17pi/4?

  1. 👍 0
  2. 👎 0
  3. 👁 1,086
  1. Make a sketch, it looks like the seats will form a circular path of radius 34 ft , (40-6)
    At an angle of 17π/4, the wheel has gone around 4 times and a bit, 17π/4 = 4π + π/4

    basic trig: sin π/4 = h/34
    h = 34(√2/2) = 17√2 ft , where h is the distance of the seat from the centre.
    so you would be 40 - 17√2 ft above the ground.

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Pre-Calculus

    a ferris wheel is elevated 1 meter above ground. When car reaches the highest point of the Ferris wheel, it's altitude from ground level is 31 metres. How far away from the center, horizontally, is the car when it is at an

  2. Math-Trigonometry

    Can someone help me with this problem. -A Ferris wheel has a radius of 37.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.

  3. math

    A Ferris wheel has a maximum height of 245 feet and a wheel diameter of 230 feet. Find an equation for the wheel if the center of the wheel is on the​ y-axis and y represents the height above the ground. equation is ?

  4. Trigonometry

    A Ferris Wheel rotates 3 times each minute. The passengers sit in seats that are 25 feet from the center of the wheel. A. What is the angular velocity of the wheel in degrees per minute and radians per minute? B. What is the

  1. 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

  2. Algebra 2

    The Ferris wheel in the figure has a radius of 68 feet. The clearance between the wheel and the ground is 14 feet. The rectangular coordinate system shown has its origin on the ground directly below the center of the wheel. Use

  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

  4. Trig

    As you ride a ferris wheel, your distance from the ground varies sinusoidally with time. When the last passenger boards the ferris wheel and the ride starts moving, let your position be modeled by the diagram provided. Let t be

  1. precalculus

    A Ferris wheel has a radius of 35 feet, and is rotating at 5 revolutions per minute. Find the linear speed, in feet per minute, of a seat on the Ferris wheel.

  2. Math

    a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to

  3. college trig word problem

    A Ferris wheel has a radius of 25 feet.The wheel is rotating at two revolutions per minute.Find the linear speed, in feet per minute, of a seat on this ferris wheel.

  4. math

    a ferris wheel has the diameter of 240 feet and the bottom of the ferris wheel is 9 feet above the ground. find the equation of the wheel if the origin is placed on the ground directly below the center of the wheel

You can view more similar questions or ask a new question.