Question

Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.

Who climbed a steeper mountain? Explain. make the writing short

Answer 1

To determine who climbed a steeper mountain, we can calculate the slope of each mountain using the formula for slope:

\[
\text{slope} = \frac{\text{rise}}{\text{run}}
\]

For Joe:
- Rise = 1200 feet
- Run = 1500 feet

\[
\text{slope}_\text{Joe} = \frac{1200}{1500} = 0.8
\]

For Bob:
- Rise = 900 feet
- Run = 1000 feet

\[
\text{slope}_\text{Bob} = \frac{900}{1000} = 0.9
\]

Since Bob’s slope (0.9) is greater than Joe’s slope (0.8), Bob climbed the steeper mountain.