Question

How to set the equations

Answer 1

Answer: a = Rectangular, b = 46.4 feet, c = 7 ft or 117 ft above ground level

Step-by-step explanation:

a) Use the rectangular coordinate system (x, y) and set the origin at the center of the ferris wheel.

b) The origin is at 62 feet from the ground.  The rider is 100 feet from the ground. So, the y-coordinate of the rider is 100 - 62 = 38.  Need to find the x-coordinate.

x² + y² = r²

x² + (38)² = (60)²

x² = 60² - 38²

x = 46.4 feet

c) The x-coordinate is given (24 ft) .  Need to find the y-coordinate.

x² + y² = r²

(24)² + y² = (60)²

y = 60² - 24²

y = +/- 55

Convert that to ground level:

62 + 55 = 117 feet above ground level

62 - 55 = 7 feet above ground level