Question

Two gardeners are planting apple trees in an orchard. Their boss asked them to make every tree 6 feet apart. The gardeners want to ensure they are following the boss’s orders. We can assume the trees can be represented on a coordinate grid where the distance in between every unit is exactly 2 feet, meaning between (0,0) and (1,0) is exactly 2 feet. The first tree is planted at (-2,-6) and the second tree is planted at (0,-4). They are concerned they did not fulfill their boss’s request. How far apart, in feet, are the two trees? Round your answer to the nearest tenths place.

Answer 1

To find the distance between the two trees, we can use the distance formula:

distance = √((x2-x1)^2 + (y2-y1)^2)

where (x1,y1) and (x2,y2) are the coordinates of the two trees.

Using this formula, we have:

distance = √((0 - (-2))^2 + (-4 - (-6))^2)

= √(2^2 + 2^2)

= √8

≈ 2.83

Therefore, the two trees are approximately 2.83 feet apart.