Mohan’s house faces south. He steps out of his house and goes straight for 30 m. From there, he takes two successive right turns and covers a distance of 6 m and 24m, respectively. Finally, he takes a left turn and walks a distance of 2 m to reach a grocery shop. What is the shortest distance between his house and the grocery shop?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 10 m.
According to the question, the figure is as follows:
From the figure;
OE = OA - AE = 30 - 24 = 6m
DE = CD + AB = 2 + 6 = 8m
OA = √(62 + 82) = √(36 + 64) = √100 = 10m
So, the shortest distance between his house and the grocery shop is 10 m.