Question : Directions: Bismita walks 200 m towards the East and then turns right and walks 210 m to reach a hospital. What is the shortest distance between the starting point and the hospital?
Option 1: 310 m
Option 2: 290 m
Option 3: 220 m
Option 4: 260 m
Correct Answer: 290 m
Solution : Firstly, we will draw the diagram as per the given instructions –
Here, A is the starting point and B is the endpoint.
For the shortest distance (AB) between the starting point and the endpoint, use Pythagoras theorem,
⇒ (AC)
2
+ (BC)
2
= (AB)
2
⇒ (200)
2
+ (210)
2
= (AB)
2
⇒ 40000 + 44100 = (AB)
2
⇒ (AB)
2
= 84100
⇒ AB = 290 m
So, the shortest distance between Bismita's starting point and hospital is 290 m. Hence, the second option is correct.
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