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There are 5 shops A, B, C, D and E. B is to the northeast of E. D is 2km to the east of E, who is 6km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.
Q.
What is the distance between town D and town A ?
- a)6km
- b)4km
- c)3km
- d)2km
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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There are 5 shops A, B, C, D and E. B is to the northeast of E. D is 2...
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There are 5 shops A, B, C, D and E. B is to the northeast of E. D is 2...
Given information:
- There are 5 shops A, B, C, D, and E.
- B is to the northeast of E.
- D is 2km to the east of E.
- E is 6km to the west of A.
- C is to the northwest of D and in the line of EB.
- D is 4km south of B.
To find: Distance between town D and town A.
Solution:
- Draw a rough sketch of the given information to get a clear understanding of the positions of the shops.
- From the sketch, we can see that:
- A is to the east of E.
- C is to the north of D and in the same line as EB.
- B is to the north of D.
- Using the Pythagoras theorem, we can find the distance between D and A as follows:
- Distance between E and A = 6 km.
- Distance between E and D = 2 km.
- Distance between B and D = 4 km.
- Distance between A and B = √[(Distance between E and A)^2 - (Distance between E and D)^2] = √(36 - 4) = √32 km.
- Distance between A and D = Distance between A and B + Distance between B and D = √32 + 4 = √36 = 6 km.
Therefore, the distance between town D and town A is 6 km, which is option B.
- There are 5 shops A, B, C, D, and E.
- B is to the northeast of E.
- D is 2km to the east of E.
- E is 6km to the west of A.
- C is to the northwest of D and in the line of EB.
- D is 4km south of B.
To find: Distance between town D and town A.
Solution:
- Draw a rough sketch of the given information to get a clear understanding of the positions of the shops.
- From the sketch, we can see that:
- A is to the east of E.
- C is to the north of D and in the same line as EB.
- B is to the north of D.
- Using the Pythagoras theorem, we can find the distance between D and A as follows:
- Distance between E and A = 6 km.
- Distance between E and D = 2 km.
- Distance between B and D = 4 km.
- Distance between A and B = √[(Distance between E and A)^2 - (Distance between E and D)^2] = √(36 - 4) = √32 km.
- Distance between A and D = Distance between A and B + Distance between B and D = √32 + 4 = √36 = 6 km.
Therefore, the distance between town D and town A is 6 km, which is option B.
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There are 5 shops A, B, C, D and E. B is to the northeast of E. D is 2km to the east of E, who is 6km to the west of A. C is to the northwest of D and in the line of EB. D is 4km the south of B.Q.What is the distance between town D and town A ?a)6kmb)4kmc)3kmd)2kme)None of theseCorrect answer is option 'B'. Can you explain this answer?
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