In the Manchester Building, the elevation of the basement floor is -16 ft. The elevation of the roof is 37 feet. What is the distance from the basement floor to the roof? (Hint: Draw a picture or a number line.) Desmos Scientific Calculator (1 point) Responses -53 -53 21 21 53 53 -21

1 answer

To find the distance from the basement floor to the roof of the Manchester Building, we need to determine the difference in elevation between the two points.

  1. The elevation of the basement floor is -16 ft.
  2. The elevation of the roof is 37 ft.

To calculate the distance, we can find the difference between the elevation of the roof and the elevation of the basement:

\[ \text{Distance} = \text{Elevation of roof} - \text{Elevation of basement} \]

Substituting the values:

\[ \text{Distance} = 37 \text{ ft} - (-16 \text{ ft}) \] \[ \text{Distance} = 37 \text{ ft} + 16 \text{ ft} \] \[ \text{Distance} = 37 + 16 = 53 \text{ ft} \]

Therefore, the distance from the basement floor to the roof is 53 ft.