Question
Download Solution PDFA goes 500 meters straight from his house. He turns to his left and walks 1 km. He then goes 1\(\frac{1}{2}\) km after turning to his right to reach his office. If his office is located in North-East direction from his house, then the direction in which A started moving initially from his house and the shortest distance from his house to his office is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A goes 500 meters straight from his house.
He turns to his left and walks 1 km.
He then goes 1\(\frac{1}{2}\) km after turning to his right to reach his office.
His office is located in North-East direction from his house.
By applying Pythagoras Theorem:
(FE)2 = (DF)2 + (DE)2
(FE)2 = (1)2 + (0.5 + 1.5)2
(FE)2 = (1)2 + (2)2
(FE)2 = 1 + 4
FE = √5 km
Thus, A started moving initially in the east from his house and the shortest distance from his house to his office is √5 km.
Hence, "Option 3" is the correct answer.
Last updated on Sep 27, 2023
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