Question : Directions: Mridul cycles 145 m towards the east, and then turns left and cycles 155 m. Again, he turns left and cycles 225 m. He finally turns left and cycles 95 m to reach his home. What is the shortest distance between his home and the starting point?
Option 1: 100 m
Option 2: 140 m
Option 3: 120 m
Option 4: 60 m
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Correct Answer: 100 m
Solution :
Firstly, we will draw the diagram as per the given instructions –
Now, we have to find the distance between Point A to Point C.
Here, A is the starting point and C is the finishing point. We have to find the distance between AC.
By using, the Pythagorean theorem;
(AB)
2
+ (BC)
2
= (AC)
2
(60)
2
+ (80)
2
= (AC)
2
3600 + 6400 = (AC)
2
10000 = (AC)
2
Now, squaring on both sides
100 = AC
So, the distance between his home and the starting point is 100 m. Hence, the
first option
is correct.
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