Q113 of 158 Page 159

Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?

Given: 6km in east


8km in north


Formula Used/Theory:-


When jiya moved from east to north it possess 90° angle


And the distance of position to his home will be hypotenuse


And form an right angled triangle


⇒ Pythagoras theorem:-


side2 + side2 = Hypotenuse2


As 8km and 6km are 2 sides of right angled triangle


Then;


82 + 62 = Hypotenuse2


Hypotenuse2 = 64 + 36 = 100


Hypotenuse = √100


Hypotenuse = 10km


∴ jiya is 10 km from his house


Result:- Jiya is 10 km from his house


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