Question

on a city map cellular towers are located at coordinated (2,8) and (-1,5) if each grid square represents 1.5 miles how far apart of the cellular towers to the nearest tenth of a mile

Answer 1

6.4 miles

Explanation:

We use the distance formula to find the distance, d, between points (2, 8) and (-1, 5).

`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`

`d = √((-1 - 2)^2 + (5 - 8)^2)`

`d = √((-3)^2 + (-3)^2)`

`d = √(9 + 9)`

`d = √(18)`

`d = 3√(2)`

The distance is 2√3 grid squares.

Now we convert this distance to a real distance using the conversion factor (1.5 mile)/(1 grid square) = 1.

2√3 grid squares × (1.5 mile)/(1 grid square) = 6.36396 miles

Answer: 6.4 miles