To determine the possible distance from Amanda's location (A) to Chad's location (C), we can refer to the triangle inequality theorem. In any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.
Here, we know:
- Amanda walks from A to B (the baseball diamond) and the distance is \( c = 2,200 \) ft.
- Chad walks from C to B and the distance is \( a = 1,320 \) ft.
- The distance we want to find is \( b \) (the distance from A to C).
According to the triangle inequality:
- \( a + b > c \)
- \( a + c > b \)
- \( b + c > a \)
Plugging the known values into the inequalities:
- \( 1,320 + b > 2,200 \) → \( b > 2,200 - 1,320 \) → \( b > 880 \)
- \( 1,320 + 2,200 > b \) → \( 3,520 > b \)
- \( b + 2,200 > 1,320 \) (This will always be true since \( b \) is positive.)
This means that \( b \) must be greater than 880 ft and less than 3,520 ft:
So, the possible distance from Amanda's house to Chad's house \( (A \text{ to } C) \) is:
1,040 ft (b), which is a value between 880 ft and 3,520 ft.
Therefore, the answer is:
1,040 ft.