Question

A man travelled 24 km in a straight line from south to north and then 7 km from there to east also in a straight line. How far will he be from the starting point?​

Answer 1

Answer:

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Answer 2

Given data,

The distance travelled by  a man from south to north is $24km$

Also he travelled towards the east is $7km$

The distance by him is in the form of right angled triangle.

From the diagram given below we have to find out the hypotenuse side of the right angled triangle.

By using the Pythagorean theorem.

The square of hypotenuse side is equal to the sum of the squares of the other two sides.

let the hypotenuse side be $x$

$x^{2} =24^{2}+ 7^{2}$

$x^{2} =576+49$

$x^{2} =625$

Here $625$ can be written as $25^{2}$.

$x^{2} =25^{2}$

$x=25$

The hypotenuse side distance is $25$.

Therefore, the distance he is far from the starting point is $25km$.