Question : Directions: Rohini walks 10 kilometers north and turns right. She walks 10 kilometers and then, turns left. She walks 10 km and then, turns right and walks 10 km more. How far (in kilometers) is she from her starting point?
Option 1: 20
Option 2: 10√2
Option 3: 20√2
Option 4: 40
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Correct Answer: 20 √ 2
Solution :
Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance between starting point and end point –
Now, find the distance between the starting point and the end point by using Pythagoras' Theorem –
(Hypotenuse)
2
= (Perpendicular)
2
+ (Base)
2
H
2
= (10 + 10)
2
+ (10 + 10)
2
H
2
= (20)
2
+ (20)
2
H
2
= 400 + 400
H
2
= 800
H = 20
√
2
So, the distance between Rohini and the starting point is 20√2 km. Hence, the third option is correct.
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