Arthur is playing in his room, which is 24.3 feet above ground. He then descends 39.9 feet to the basement, where is uncle is working in his woodshop. If ground level is 0 feet, which number best describes the location of the basement woodshop?(1 point)

Responses

64.2 feet
64.2 feet

15.6 feet
15.6 feet

−15.6 feet
negative 15.6 feet

−64.2 feet

1 answer

To determine the location of the basement woodshop, we can start with Arthur's initial height above ground and subtract the distance he descends.

Arthur is initially at 24.3 feet above ground. He descends 39.9 feet to the basement:

\[ \text{Final position} = \text{Initial position} - \text{Descent} \] \[ \text{Final position} = 24.3 - 39.9 \]

Calculating that gives:

\[ 24.3 - 39.9 = -15.6 \text{ feet} \]

This means the basement woodshop is located 15.6 feet below ground level.

The number that best describes the location of the basement woodshop is:

−15.6 feet.