Home
/
Math
/
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

Question

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?

Solution

Expert Verified
4 (213 Votes)
Elizabeth Master ยท Tutor for 5 years

Answer

### The Eastern Trail is steeper.

Explanation

## Step 1: Calculate the slope of the Eastern Trail### The slope is the ratio of the vertical distance to the horizontal distance. Slope . For the Eastern Trail, this is .## Step 2: Calculate the slope of the Western Trail### Similarly, for the Western Trail, the slope is .## Step 3: Compare the slopes### The Eastern Trail has a slope of while the Western Trail has a slope of approximately . Since , the Eastern Trail is steeper.