Question

you board a ferris wheel at ground level and travel to the very top, when it stops to allow more riders to get on. how many degrees has the ferris wheel rotated?

Explanation:

Step1: Understand Ferris wheel rotation

A Ferris wheel is a circle, which has 360° in total. Boarding at ground level (let's consider the initial position as 0° or the bottom - but when moving to the top, we are moving from the starting point (ground level, which we can consider as the bottom position) to the top. The angle from the bottom to the top of a circle is a semicircle.

Step2: Calculate the angle of a semicircle

The measure of a semicircle (half of a full circle) is calculated as $\frac{360^{\circ}}{2}= 180^{\circ}$. Because moving from the bottom (ground level boarding) to the top of the Ferris wheel is moving half - way around the circular Ferris wheel.

Answer:

180