Question : Directions: A man starts from a point, moves 9 km south, then turns east and goes 3 km. He turns south and walks 3 km, and then moves 8 km towards the west. How far is he from the starting point?
Option 1: 15 km
Option 2: 12 km
Option 3: 11 km
Option 4: 13 km
Correct Answer: 13 km
Solution : Firstly, we will draw the diagram as per the given instructions in the question.
In the above figure, O is the starting point and D is the finishing point. So, OD is the distance from the starting point.
OD can be found using Pythagoras theorem.
OD
2
= OE
2
+ DE
2
OE = OA + AE = 9 + 3 = 12
DE = CD – CE = CD – AB = 8 – 3 = 5
So, OE
2
+ DE
2
= 12
2
+ 5
2
= 144 + 25 = 169
OD = (169)
1/2
= 13
So, the distance from the starting point is 13 km. Hence, the fourth option is correct.
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