Diogo’s house faces west. He steps out of his house and walks 22 m straight. He then turns to his left and walks 20 m. He takes another left turn and walks 25 m. Finally, he turns left once again and walks further for 24 m to reach his school. How far is the school from his house and in which direction with respect to his house?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 5 m due north-east
Let us draw the diagram according to the given directions.
Using Pythagoras theorem, we need to find the value of x.
x2 = 42 + 32
x2 = 16 + 9
x2 = 25
x = 5 m
Further, the school is in north-east direction of the house,
Hence, 5 m due north-east is the correct answer.