Question : Directions: Stepping outside her school, Katrina walked 40 m towards the South to reach an ice cream parlour. From there, she took a left turn and walked 15 m to reach a bus stop. She then took a left turn and walked for another 30 m to reach the central park. What is the approximate shortest distance between the ice cream parlour and the central park?
Option 1: 37.5 m
Option 2: 33.5 m
Option 3: 46 m
Option 4: 50 m
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Correct Answer: 33.5 m
Solution : According to the instructions given, the diagram is as follows –
Now, we have to find the distance between C and I.
Here, S is the starting point and C is the finishing point.
SI = 40m; IB = 15m; BC = 30m
By applying the Pythagorean theorem –
(CI)
2
= (IB)
2
+ (BC)
2
(CI)
2
= (15)
2
+ (30)
2
= 225 + 900 = 1125
⇒ CI = $\sqrt1125$ = 33.5m
So, the approximate shortest distance between the ice cream parlour and the central park is 33.5m. Hence, the second option is correct.
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