Aunt Gloria walked out of her house and walked 65 m towards the east. She took a left turn and walked 28 m. Again, she took a left turn and walked 110 m to reach a public library. How far (shortest distance) and in which direction is the library from Aunt Gloria’s house?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 53 m, North-West
The given diagram shows the correct path towards the library:
Using Pythagoras Theorm:
(Hypotenuse)2 = (Perpendicular)2 + (Base)2
The shortest distance between House and the library will be :
(45)2 + (28)2 = √(2025 + 784) = √2809 = 53m