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)

Question

Responses

−64.2
feet
negative 64.2 feet

−15.6
feet
negative 15.6 feet

64.2 feet
64.2 feet

15.6 feet

Answer 1

To find the location of the basement woodshop, we need to calculate the total change in height from Arthur's room to the basement.

Arthur is currently at a height of 24.3 feet above ground level, and he descends 39.9 feet to the basement. We can determine the height of the basement relative to ground level with the following calculation:

1. Start at Arthur's height: 24.3 feet
2. Subtract the descend distance of 39.9 feet:

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

Thus, the basement woodshop is at -15.6 feet relative to ground level.

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

−15.6 feet (negative 15.6 feet).