Question

The floor of the basement in Mandy's house is 22 1/3 feet below the ground level. She has a table that is 2 1/2 feet tall. Directly above the table, a light is hanging from the ceiling. The distance from the table to the lamp is 4 feet. How far below the ground surface is the lamp?

a) 19 5/6 feet
b) 20 1/3 feet
c) 24 5/6 feet
d) 26 2/3 feet

Answer 1

The lamp is d)26 2/3 feet below the ground surface.

Step-by-step explanation:

The lamp is 26 2/3 feet below the ground surface.

To determine the distance of the lamp below the ground surface, we need to add the height of the table (2 1/2 feet) and the distance from the table to the lamp (4 feet). This gives us a total vertical distance of 6 1/2 feet from the ground surface to the table.

Next, we need to subtract this distance from the height of the basement floor (22 1/3 feet). Subtracting 6 1/2 feet from 22 1/3 feet gives us a total distance of 15 5/6 feet between the lamp and the ground surface. However, since we want to find the distance below the ground surface, we need to subtract this distance from the ground level. So, 22 1/3 feet - 15 5/6 feet = 6 1/2 feet. Therefore, the lamp is d)26 2/3 feet below the ground surface.