Seven villages A, B, C, D, E, F, and G are situated as follows: E is 2 km to the west of B. F is 2 km to the north of A. C is 1 km to the west of A. D is 2 km to the south of G. G is 2 km to the…
Question and options
Seven villages A, B, C, D, E, F, and G are situated as follows:
E is 2 km to the west of B. F is 2 km to the north of A. C is 1 km to the west of A. D is 2 km to the south of G. G is 2 km to the east of C. D is exactly in the middle of B and E.
How far is D from F (in km) as the crow flies?
E is 2 km to the west of B. F is 2 km to the north of A. C is 1 km to the west of A. D is 2 km to the south of G. G is 2 km to the east of C. D is exactly in the middle of B and E.
How far is D from F (in km) as the crow flies?
- √5
- 2 √2
- √17
- √20
Answer and explanation
Correct answer: C - √17
Put A at (0,0). Then F = (0,2), C = (-1,0), G = (1,0) and D = (1,-2). DF = sqrt(1^2 + 4^2) = sqrt(17).
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