Question : Directions: Joya comes out of a bank and walks 14 m towards the north. Then she turns left and walks 20 m. Then she turns left again and walks 36 m. Now she turns left and walks 65 m. In which direction should she turn now and what distance should she walk in order to reach a hospital that is 45 m east of the bank?
Option 1: Left, 22 m
Option 2: Left, 29 m
Option 3: Right, 29 m
Option 4: Right, 22 m
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Correct Answer: Left, 22 m
Solution : According to the instructions given, the diagram is as follows –
Now, we have to find the distance between E and F.
Here, A is the starting point and E is the finishing point.
AB = 14m; BC = 20m; CD = 36m; DE = 65m
And, EF = CD – AB = 36 – 14 = 22m
So, she has to turn to the left to reach the hospital and the distance is 22m. Hence, the fourth option is correct.
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