the myrtle beach skywheel has:\nmiddle height: 102 feet\nradius: 85 feet\non a previous screen found the…

the myrtle beach skywheel has:\nmiddle height: 102 feet\nradius: 85 feet\non a previous screen found the height of a person\nwho started at the bottom then turned 60 degree.\nto get the answer you typed\n85 sin(60 + 270) + 102 in the calculator.\nbelow type an expression for the height of a person\nafter starting from the bottom and turning any\nnumber of degrees(x)\n(hint: type what you have been typing in the\ncalculator, but instead of the degrees turned type x\n)\nattempts: 0
Answer
Answer:
(85\sin(x + 270)+102)
Explanation:
Step1: Analyze the general form of the sine - based height formula
The general form of a sinusoidal function for height (h) is (h = A\sin(B(x - C))+D). Here, the amplitude (A) is the radius of the wheel ((A = 85)), the vertical shift (D) is the middle height ((D=102)).
Step2: Determine the phase - shift
When (x = 60), we know the formula (h=85\sin(60 + 270)+102). For a general angle (x) (in degrees), using the pattern from the given example (where the argument of the sine function is the sum of the angle (x) and (270^{\circ})), the formula for the height of a person after turning (x) degrees starting from the bottom is (h = 85\sin(x + 270)+102).