Find the distance between the points (0, 0) and (36, 15). Can you now find the distance between the two towns A and B discussed in Section 7.2?
39; 39 km
The given points are \((0, 0)\) and \((36, 15)\).
We use the distance formula between two points \((x_1, y_1)\) and \((x_2, y_2)\): \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).
Here, \(x_1 = 0, y_1 = 0, x_2 = 36, y_2 = 15\).
Substituting these values: \( d = \sqrt{(36 - 0)^2 + (15 - 0)^2} \).
This becomes: \( d = \sqrt{36^2 + 15^2} \).
Now calculate the squares: \(36^2 = 1296\) and \(15^2 = 225\).
So, \( d = \sqrt{1296 + 225} = \sqrt{1521} \).
Since \(1521 = 39^2\), we get \( d = 39 \).
Therefore, the distance between the points is 39 units.
In Section 7.2, the towns A and B were represented by the same pair of points, so the distance between towns A and B is also 39 km.