To find the distance between the elevations of the rock, we can start by determining the elevation of the rock at its highest point (the bridge) and its lowest point (under the surface of the lake).
- Height of the bridge above the lake: 124 feet (this is the point where John throws the rock)
- Depth to which the rock sinks below the river surface: 81 feet
To find the elevation of the rock at its lowest point, we can proceed as follows:
- The water surface level of the lake is at 0 feet (we can treat it as the reference point).
- The elevation at the bridge (where John is standing) is 124 feet.
- The lowest point the rock reaches is 81 feet below the surface of the water, which can be calculated as:
\[ \text{Lowest point} = 0 - 81 = -81 \text{ feet} \]
Now, to compute the total vertical distance between the bridge and the rock's lowest point, we subtract the lowest point from the height of the bridge:
\[ \text{Distance} = \text{Height of bridge} - \text{Lowest point} \] \[ \text{Distance} = 124 - (-81) = 124 + 81 = 205 \text{ feet} \]
Therefore, the distance between the elevations is 205 feet.
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