Question

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

Answer 1

Answer:

d) 0.8 mile

Step-by-step 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, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, we would have:

$d = \sqrt{(6 - 1)^2 + (1 - 4)^2}$

$d = \sqrt{(5)^2 + (-3)^2}$

$d = \sqrt{25 + 9}$

$d = \sqrt{34} = 5.8 units = 5.8 miles$ (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.