Question

laura and her family were first in line for the ferris wheel, which has 8 passenger carts. once the ride opened, they climbed into cart 1. as they began to rise higher, laura spotted the lopez family arriving and settling into cart 4, just a few spaces behind them.

Explanation:

Step1: Find the fraction of the circle

The Ferris wheel is a circle, which has \(360^{\circ}\). There are 8 passenger carts, so the angle between two adjacent carts is \(\frac{360^{\circ}}{8}=45^{\circ}\).

Step2: Calculate the angle \(x\)

Cart 1 to Cart 4 has \(4 - 1=3\) intervals. Each interval is \(45^{\circ}\), so \(x = 3\times45^{\circ}=135^{\circ}\).

Answer:

\(135^{\circ}\)