Question : Directions: Ahmet’s house faces north. He came out of his house and walked straight for 40 m, turned left, and walked for 30 m. He then, turned right and walked for 35 m. Finally, he took another two successive right turns and covered 30 m and 25 m respectively, to reach his final destination. How far and in which direction is he from his house now?
Option 1: 25 m due south
Option 2: 50 m due north
Option 3: 15 m due north
Option 4: 25 m due east
Correct Answer: 50 m due north
Solution : First, we will draw the diagram, as per the given instructions –
Here, A is the starting point and F is the finishing point. AB = 40 m; CD = 35 m; EF = 25 m BF = CD – EF BF = 35 – 25 BF = 10 m Now, find the distance between his final position (F) and his house (A) – AF = AB + BF AF = 40 + 10 AF = 50 m
So, the distance between his final position and his house is 50 m, and he is in the north direction of his house. Hence, the second option is correct.
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