Q. 24.2( 220 Votes )

# 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

Answer :

**To find: Distance between two points****Given: Points A(0, 0), B(36, 15)**

For two points A(x_{1}, y_{1}) and B(x_{2}, y_{2}),

Distance is given by

f = [(x_{2 - }x_{1})^{2} + (y_{2 - }y_{1})^{2}]^{1/2}

Distance between (0, 0) and (36, 15) is:

f = [(36 – 0)^{2} + (15 – 0)^{2}]^{1/2}

= [1296 + 225]^{1/2} = (1521)^{1/2}

= 39

Hence Distance between points A and B is 39 unitsYes, we can find the distance between the given towns A and B. Let us take town A at origin point (0, 0)

Hence, town B will be at point (36, 15) with respect to town A

And, as calculated above, **the distance between town A and B will be 39 km**

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