In a volcano, the lava chamber 25 km below then surface causes a plume o smoke that rises 30 km in the sky. What is the difference in elevations?

1 answer

To find the difference in elevations between the lava chamber and the top of the smoke plume, we need to consider both depths and heights relative to the surface.

  1. The lava chamber is located 25 km below the surface. This can be represented as -25 km.
  2. The smoke plume rises 30 km above the surface. This can be represented as +30 km.

To find the difference in elevation, we will calculate the elevation of the plume relative to the lava chamber:

\[ \text{Difference in elevation} = \text{elevation of plume} - \text{elevation of chamber} \] \[ = 30, \text{km} - (-25, \text{km}) \] \[ = 30, \text{km} + 25, \text{km} \] \[ = 55, \text{km} \]

Therefore, the difference in elevations is 55 km.