Pratima departs from her house and walks 29 m towards the north and then turns right and walks 16 m. Now she turns right again and walks 17 m. She again takes a right turn and stops after walking for 21 m. What is the shortest distance between Pratima and her house now? (Assuming that all turns are 90-degree turns only)
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 13 m.
According to the given information:
From the diagram;
The shortest distance between Pratima and her house = OE
OE2 = OA2 + AE2
OE2 = (OB - AB)2 + (DE - AD)2
OE2 = (29 - CD)2 + (21 - BC)2
OE2 = (29 - 17)2 + (21 - 16)2
OE2 = 122 + 52
OE2 = 144 + 25
OE2 = 169
OE = 13 m
Hence, 13m is the correct answer.