The bottom of a cavern is located at -405 feet relative to sea level. If Lora is 18...

Check the final answer first, then review the worked steps.

Problem

The bottom of a cavern is located at -405 feet relative to sea level. If Lora is 18 feet above this point, where is Lora relative to sea level?

Answer

\(-387 \text{ feet}\)

Step-by-step solution

  1. Identify the starting position: The bottom of the cavern is at $-405$ feet relative to sea level.
  1. Determine the change in position: Lora is $18$ feet above this point. Being 'above' in a vertical coordinate system (where sea level is $0$) means adding to the elevation.

3. Calculate the new position: To find Lora's position relative to sea level, add $18$ to the starting elevation:
$$-405 + 18 = -387$$

  1. Conclusion: Lora is at $-387$ feet relative to sea level, which corresponds to option B.