Question : Directions: After going 80 m from his house towards the east, a person turns left and goes 20 m, then turns right and moves 100 m, then turns left and goes 60 m, then turns left and goes 120 m to reach the park. What is the distance between his house and the park?
Option 1: 80 m
Option 2: 120 m
Option 3: 20 m
Option 4: 100 m
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Correct Answer: 100 m
Solution : Firstly, we will draw the diagram as per the given instructions –
In the figure, A is the starting point and F is the finishing point. So, AF is the distance between the house and the park.
By applying the Pythagoras theorem –
(AF)
2
= (AH)
2
+ (HF)
2
= (60)
2
+ (60 + 20)
2
= 3600 + 6400 = 10000
⇒ (AF)
2
= 10000
⇒ AF = 100 m
So, the distance between the house and the park is 100 m. Hence, the fourth option is correct.
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