Question

myrtle beach skywheel
on the previous slide you placed the purple point in
place where a person will be after:
they enter the wheel at the bottom
the wheel turns 60 degrees
the myrtle beach skywheel has:
middle height: 102 feet
radius: 85 feet
type a very precise estimate of the height of the
purple point.
(hint: use (degrees standard) from the circle)
feedback:
attempts: 0

Explanation:

Step1: Determine the formula for height

The height \(h\) of a point on a Fer - ris wheel is given by \(h = h_{0}+r\sin\theta\), where \(h_{0}\) is the middle height, \(r\) is the radius, and \(\theta\) is the angle in standard position.

Step2: Identify the values

We are given \(h_{0}=102\) feet, \(r = 85\) feet, and \(\theta=60 + 270=330^{\circ}\). Since \(\sin(330^{\circ})=\sin(360 - 30)^{\circ}=-\sin(30^{\circ})=-\frac{1}{2}\)

Step3: Calculate the height

Substitute the values into the formula: \(h=102+85\times\sin(330^{\circ})\).

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Answer:

\(144.5\) feet