Question : Directions: A cyclist rides 40 km to the east, turns north, and rides 20 km, again turns left and rides 20 km. How far (approx) is he from the starting point?
Option 1: 0 km
Option 2: 10 km
Option 3: 20 km
Option 4: 30 km
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Correct Answer: 30 km
Solution : According to the instructions given, the diagram is as follows –
Here, A is the starting point, D is the finishing point and AD is the distance from the starting point.
AB = 40 km; BC = 20 km and CD = 20 km
AE = 20 km and DE = 20 km
By applying the Pythagoras theorem –
(AD)
2
= (AE)
2
+ (DE)
2
(AD)
2
= (20)
2
+ (20)
2
= 400 + 400 = 800
⇒ AD = √800 = 28.28 = 30 km (Approx)
So, the cyclist's distance from the starting point is 30 km. Hence, the fourth option is correct.
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