Question : Directions: Ram walks 2 km to the east, then he turns to the South and walks 6 km. He again turns to the East and walks 2 km, then he turns to the North and walks 12 km. How far is he from the starting point?
Option 1: 7 km
Option 2: 7.1 km
Option 3: 7.2 km
Option 4: 7.3 km
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Correct Answer: 7.2 km
Solution : According to the instructions given, the diagram is as follows –
Here, A is the starting point and F is the finishing point and AF is the total distance from the starting point.
AB = 2 km; BC = 6 km; CD = BE = 2km; DF = 12 km; DE = EF = 6 km
And, AE = AB + BE = 2 + 2 = 4 km
By applying the Pythagoras theorem –
(AF)
2
= (AE)
2
+ (EF)
2
(AF)
2
= (4)
2
+ (6)
2
= 16 + 36 = 52
⇒ AF = √52 = 7.2 km
So, the total distance from the starting point is 7.2 km. Hence, the third option is correct.
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