You and a friend missed the bus so you must walk home from school together. At the park, you part ways. Your friend walks 4 kilometers north to his house while you walk 6 kilometers east to your house. How many kilometers apart are the two houses? The two houses are kilometers apart.
Answers
Given : At the park, ways part . Your friend walks 4 kilometers north to his house while you walk 6 kilometers east to your house.
To find : How many kilometers apart are the two houses
Solution:
NORTH
WEST EAST
SOUTH
Friend House
4 km
Park 6 km Your House
North & East are perpendicular to Each other
Hence distance between houses = √4² + 6²
= √52
= 2√13 km
= 7.2 km
Two houses are 2√13 km = 7.2 km Apart
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