11. Two ski slopes are measured for steepness The Eastern Trail has a vertical distance of 60 m and a horizontal distance of 160 m. The Western Trail has a vertical distance of 110 m and a horizontal distance of 330 m. Which ski slope is steeper?

## Step 1: Calculate the slope of the Eastern Trail<br />### The slope is the ratio of the vertical distance to the horizontal distance. Slope $= \frac{\text{vertical distance}}{\text{horizontal distance}}$. For the Eastern Trail, this is $\frac{60}{160} = \frac{6}{16} = \frac{3}{8} = 0.375$.<br /><br />## Step 2: Calculate the slope of the Western Trail<br />### Similarly, for the Western Trail, the slope is $\frac{110}{330} = \frac{11}{33} = \frac{1}{3} \approx 0.333$.<br /><br />## Step 3: Compare the slopes<br />### The Eastern Trail has a slope of $0.375$ while the Western Trail has a slope of approximately $0.333$. Since $0.375 > 0.333$, the Eastern Trail is steeper.