Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Counting & Binomials
  • Proof and Reasoning
  • Complex Numbers
  • Cartesian plane & lines
  • Quadratics
  • Function Theory
  • Transformations & asymptotes
  • Polynomials
  • 2D & 3D Geometry
  • Trig equations & identities
  • Vectors
  • Probability
  • Descriptive Statistics
  • Distributions & Random Variables
  • Differentiation
  • Integration
  • Differential Equations
  • Maclaurin
Other
  • Review Videos
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AAHL
    /
    Trig equations & identities
    /

    Problem Bank

    [Maximum mark: 5]

    The following diagram shows a ferris wheel, which rotates at a constant rate.

    problem image

    The height ​h, in meters, of point ​P​ above the ground is given by ​h(t)=20cos(bt)+23, where ​t​ is the time in minutes.

    1. Find

      1. the distance from the lowest point on the wheel to the ground,

        [1]

        To earn a crown, get your answer ready before you reveal the options!

      2. the diameter of the wheel.

        [1]

    The wheel makes 4 revolutions in an hour.

    1. Find the value of ​b.

      [3]

    Ask Plex AI about this problem

    Get hints, ask questions, and work through this problem step by step

    I'm Plex, here to help with problems on this worksheet!