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
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.