Question

A climber goes down a mountain that is 3,417 feet above sea level to the bottom. At the bottom is located at 67 feet below sea level. How high is the mountain from top to bottom?

A) 3,350 feet
B) 3,484 feet
C) 3,484 feet
D) 3,384 feet

Answer 1

The mountain's height from top to bottom is calculated by adding the elevation above sea level at the top (3,417 feet) and the absolute elevation below sea level at the bottom (67 feet), resulting in a total height of 3,484 feet.

Step-by-step explanation:

To determine how high the mountain is from top to bottom, we need to calculate the difference in elevation between the top of the mountain and the bottom. The top of the mountain is at 3,417 feet above sea level, and the bottom is at 67 feet below sea level. The total height of the mountain can be found by adding the absolute values of these two elevations:

• Absolute elevation of the top: +3,417 feet
• Absolute elevation of the bottom: +67 feet (since elevation below sea level is also a distance, we take the positive value)

Adding these together gives us the total height of the mountain:

3,417 feet + 67 feet = 3,484 feet.

Therefore, the correct answer to how high the mountain is from top to bottom is 3,484 feet, which corresponds to option B.