Question : Directions: A boat moves from a jetty towards the east. After sailing for 9 nautical miles, it turns towards the right and covers another 12 nautical miles. If it wants to go back to the jetty what is the shortest distance now from its present position?
Option 1: 21 nautical miles
Option 2: 20 nautical miles
Option 3: 18 nautical miles
Option 4: 15 nautical miles
Correct Answer: 15 nautical miles
Solution : Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the shortest distance from the starting point to the endpoint.
Here, A is the starting point and C is the finishing point of the boat.
AB = 9 nautical miles and BC = 12 nautical miles
AC is the shortest distance for the boat to reach the jetty.
By applying the Pythagorean theorem:
(AC)
2
= (AB)
2
+ (BC)
2
(AC)
2
= (9)
2
+ (12)
2
(AC)
2
= 81 + 144 = 225
AC = 15
So, the shortest distance is 15 nautical miles. Hence, the fourth option is correct.
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