1 Answers
Option 2 : He is minimum 36.25 km far from the starting point.
The diagram for the given direction problem is as follows:
[ alt="IB Sec Assistant FT5 Radhika Oct 01" src="//storage.googleapis.com/tb-img/production/18/11/IB_Sec%20Assistant_FT5_Radhika_Oct_01.PNG" style="width: 543px; height: 486px;">
Let’s check each option:
1) He travelled a total distance of 47 km → False (as total travelled distance is, 7 + 17 + 8 + 16 = 48 km)
2) He is 36.25 km far from the starting point → True (as shown below)
(Minimum distance)2 = (33)2 + (15)2 = 1089 + 225 = 1314
(Minimum distance) = 36.25
Hence, He is 36.25 km far from the starting point.
3) He is 36 km far from the starting point → False (as he is 36.25 km far from the starting point)
4) He travelled 33 km towards the north → False (as total distance travelled towards north is 7 + 8 = 15 km)
Hence, only statement given in option 2 is true.