What is the shortest distance between point A and point C?
Directions: Study the information given below carefully and answer the questions that follow:
Neha starts her journey from point A, walks 8 meters towards south to reached point B, then takes a right turn and walks for 6 meters to reach point C. From point C she takes a left turn and walks for 9 meters to reach at point D, from point D she takes a left turn and walks 14 meters to reach point E, then takes a left turn again and walks 17 meters to reach point F. From point F she walks 4 meters in the west direction and reached point G.
Question 1: <p>What is the shortest distance between point A and point C?</p>
A. 10 meter
B. 20 meter
C. 11 meter
D. 12 meter
E. None of these
Right Answer is: A
SOLUTION
We have drawn the figure according to the information given in the question:
1) Neha starts from point A walks 8 meters towards the south and reaches point B.
2) From point B she turns right and walks 6 meters to reach point C.
3) From point C she takes a left turn and walks 9 meters and reaches point D.
4) From point D she takes a left turn and walks 14 meters to reach point E.
5) From point E she takes a left turn and walks 17 meters to reach point F.
5) From point F she walks 4 meters in the west direction and reached point G.
Distance between A and C = \(√(AB^2 + BC^2)\)
Distance between A and C = \(√(8^2 + 6^2)\) = 10 meter
Hence, the shortest distance between A and C is 10 meters.
