Question

A) 1.0 mile
b) 5.0 mile
c) 5.8 mile
d) 0.8 mile ​

Answer 1

d) 0.8 mile

Explanation:

Coordinate of object B = (6, 6)

Coordinate of object C = (1, 4)

Coordinate of the archaeologist = (6, 1)

✍️Distance between Object B (6, 6) and the archaeologist (6, 1):

Distance = |6 - 1| = 5 units = 5 miles

✍️Distance between Object C (1, 4) and the archaeologist (6, 1):

Using the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`, we would have:

`d = √((6 - 1)^2 + (1 - 4)^2)`

`d = √((5)^2 + (-3)^2)`

`d = √(25 + 9)`

`d = √(34) = 5.8 units = 5.8 miles` (nearest tenth)

Comparing how far each object is from the archaeologist, object C is 0.8 mile (5.8 - 5 = 0.8) farther than object B.