Read the information given below and answer the questions that follow by choosing the most appropriate option.

Manish is standing outside his office facing north. He walks 15 m to his right. Then, he truns to his left and walks for 23 m. Then, he turns to his right and walks fro 6 m. Then, he turns to his right and walks  for 43 m to reach his home 

What is the distance he will have to walk if he followed a straight-lined path from his office to his home?

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  1. 20 m
  2. 35 m
  3. 29 m
  4. 21 m

Answer (Detailed Solution Below)

Option 3 : 29 m
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Detailed Solution

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Drawing the diagram according to the given information,

F1 Resham.R 01-10-20 Savita D16

Distance if he followed a straight line path = \(\sqrt {{{\left( {15 + 6} \right)}^2} + {{20}^2}} \) 

= \(\sqrt {{{21}^2} + {{20}^2}} \) = \(\sqrt {441 + 400} \) = √841 = 29.

He will have to walk for 29 m if he followed a straight-lined path from his office to his home.

Hence, “29 m” is the correct answer.
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