College

A hike starts at an elevation of [tex]13 \frac{4}{5}[/tex] feet below sea level and ends at an elevation that is 1,542 feet higher. How high is the hiker, in feet, above sea level at the end of the hike?

A. [tex]1,528 \frac{1}{5}[/tex]

B. 1.55

C. [tex]1,555 \frac{4}{5}[/tex]

Answer :

Sure! Let's solve the problem step-by-step:

1. Understanding the Problem:
- The hike starts at an elevation of [tex]\(13 \frac{4}{5}\)[/tex] feet below sea level. This can be expressed as a negative number since it is below sea level.
- The hike ends at an elevation that is 1,542 feet higher than the starting point.

2. Converting the Starting Elevation:
- Convert [tex]\(13 \frac{4}{5}\)[/tex] to a decimal. To do this, divide 4 by 5, which equals 0.8.
- Therefore, the starting elevation is [tex]\(-13.8\)[/tex] feet (below sea level).

3. Calculating the Final Elevation:
- Since the end elevation is 1,542 feet higher than the starting elevation, you add 1,542 to [tex]\(-13.8\)[/tex].
- This calculation gives you [tex]\(1,542 - 13.8 = 1,528.2\)[/tex] feet.

4. Conclusion:
- The hiker ends up at an elevation of [tex]\(1,528.2\)[/tex] feet above sea level at the end of the hike.

So, the hiker is 1,528.2 feet above sea level at the end of the hike!