myrtle beach skywheel\non the previous slide you placed the purple point in\nplace where a person will be…

myrtle beach skywheel\non the previous slide you placed the purple point in\nplace where a person will be after:\nthey enter the wheel at the bottom\nthe wheel turns 60 degrees\nthe myrtle beach skywheel has:\nmiddle height: 102 feet\nradius: 85 feet\ntype a very precise estimate of the height of the\npurple point.\n(hint: use (degrees standard) from the circle)\nfeedback:\nattempts: 0

myrtle beach skywheel\non the previous slide you placed the purple point in\nplace where a person will be after:\nthey enter the wheel at the bottom\nthe wheel turns 60 degrees\nthe myrtle beach skywheel has:\nmiddle height: 102 feet\nradius: 85 feet\ntype a very precise estimate of the height of the\npurple point.\n(hint: use (degrees standard) from the circle)\nfeedback:\nattempts: 0

Answer

Answer:

(144.5) feet

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})). [ \begin{align*} h&=102 + 85\times(-\frac{1}{2})\ &=102-42.5\ &=144.5 \end{align*} ]