Comprehension

Direction: Read the following information carefully and answer the given questions.

Vikram starts from point X and walks 27 km towards the west to reach point Y. From Y, he turns left and walks 19 m to reach point Z. Then, he turns right and walks 6 m to reach point A. From point A, he turns right again and walks 12 m to reach point B. Then, he turns left and walks 11 m to reach point C. From C, he turns left and walks 8 m to reach point D. He then takes a right turn and walks 5 m to reach point E. From E, he turns left and walks 15 m to reach point F. Finally, he turns left again and walks 35 m to reach point G.

What is the shortest distance between point D from point F?

  1. 5√10 m
  2. 15 m
  3. 5 m
  4. 25√10 m
  5. 10√5 m

Answer (Detailed Solution Below)

Option 1 : 5√10 m

Detailed Solution

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Given:

Vikram starts from point X and walks 27 km towards the west to reach point Y.

From Y, he turns left and walks 19 m to reach point Z.

Then, he turns right and walks 6 m to reach point A.

From point A, he turns right again and walks 12 m to reach point B.

Then, he turns left and walks 11 m to reach point C.

From C, he turns left and walks 8 m to reach point D.

He then takes a right turn and walks 5 m to reach point E.

From E, he turns left and walks 15 m to reach point F.

Finally, he turns left again and walks 35 m to reach point G.

 

Task Id 1067 Daman (6)

By apply Pythagoras Theorem:

(FD)2 = (EF)2 + (ED)2         

(FD)2 = (15)2 + (5)2                                                          

(FD)2 = 225 + 25

FD = √250 m → 5√10 m  

Thus, the shortest distance between point D from point F is 5√10 m.

Hence, "Option 1" is the correct answer.

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