the texas star has: middle height: 106 feet radius: 101 feet below type an expression for the height of a…

the texas star has: middle height: 106 feet radius: 101 feet below type an expression for the height of a person after starting from the bottom and turning any number of degrees(x) (hint: type what you have been typing in the calculator, but instead of the degrees turned type x ) attempts: 0 submit

the texas star has: middle height: 106 feet radius: 101 feet below type an expression for the height of a person after starting from the bottom and turning any number of degrees(x) (hint: type what you have been typing in the calculator, but instead of the degrees turned type x ) attempts: 0 submit

Answer

Answer:

(106 - 101\cos(x))

Explanation:

Step1: Recall the formula for height in a circular motion

The general formula for the height (h) of an object in circular motion (like a Fer - ris wheel) is (h = h_0+r - r\cos(x)), where (h_0) is the middle - height (vertical shift), (r) is the radius (amplitude), and (x) is the angle of rotation.

Step2: Substitute the given values

We are given that (h_0 = 106) (middle height) and (r = 101) (radius). Substituting these values into the formula (h=h_0 + r-r\cos(x)), we get (h = 106+101 - 101\cos(x)). Simplifying the constant terms (106 + 101) (but note that the middle - height is already accounted for in the formula structure). The formula for the height of a person on the Texas Star (a Fer - ris wheel) after turning (x) degrees is (106-101\cos(x)) (since starting from the bottom, when (x = 0), (\cos(0)=1) and (h=106 - 101\times1=5) (which is consistent with the general position of the bottom of a Fer - ris wheel relative to the middle - height)).