The Becker Department Store's basement is 15 feet below ground. If the total length of the building from the basement to the roof is 70 feet, what is the building's elevation above ground? (Desmos Calculator: Ctrl + select to open in a new tab) (1 point) Responses 55 feet 55 feet 65 feet 65 feet 70 feet 70 feet 85 feet 85 feet

1 answer

To determine the building's elevation above ground, we can use the following steps:

  1. The basement is 15 feet below ground, which means its elevation is -15 feet.
  2. The total height of the building from the basement to the roof is 70 feet.

To find the elevation of the roof above ground level, we can add the height of the building to the elevation of the basement:

\[ \text{Elevation of the roof} = \text{Elevation of the basement} + \text{Height of the building} \] \[ \text{Elevation of the roof} = -15 \text{ feet} + 70 \text{ feet} = 55 \text{ feet} \]

Thus, the building's elevation above ground is 55 feet.