Shweta starts walking from her office and walks 150m towards the south, then she turns right and walks 80 m, and then she turns left and walks 60m. She finally takes a left turn and walks 280 m to reach a bank. What is the shortest distance between her office and the bank?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 290 m
Using the above information we can draw the following diagram:
From the figure;
OE2 = OD2 + DE2
⇒ OE2 = (OA + AD)2 + (CE - CD)2
⇒ OE2 = (150 + 60)2 + (280 - 80)2
⇒ OE2 = (210)2 + (200)2
⇒ OE2 = 44100 + 40000
⇒ OE2 = 84100
⇒ OE = 290