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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


Team Careers360 16th Jan, 2024
Answer (1)
Team Careers360 20th Jan, 2024

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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