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.

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Detailed Solution

Let the points be A(0, 0) and B(36, 15)

Hence, x₁ = 0, y₁ = 0, x₂ = 36, y₂ = 15

We know that the distance between the two points is given by the Distance Formula,

= √ [(x₂_^-x₁)² + (y₂ - y₁)²]....(1)

= √ (36 - 0)² + 15 - 0)²

= √ [(1296) + (225)]

= √1521

= 39

Yes, it is possible to find the distance between the given towns A and B.

The positions of towns A & B are given by (0, 0) and (36, 15), hence, as calculated above, the distance between town A and B will be 39 km.

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