Sameer visited his cousin and had to drive 135 miles north then 90 miles west. At the end of his trip, he pulled out a map to determine how far from home he was. What is the shortest distance from Sameer's house to his cousin's house? Round your answer to the nearest mile.
Answers
Given : Sameer visited his cousin and had to drive 135 miles north then 90 miles west.
At the end of his trip, he pulled out a map to determine how far from home he was.
To Find : What is the shortest distance from Sameer's house to his cousin's house
Solution:
North = 135 miles
West = 90 miles
North and west are perpendicular to each other
Hence Shortest distance can be found using Pythagoras theorem
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
Shortest distance = √135² + 90²
= √45²(3² + 2²)
= 45(√9 + 4)
= 45√13
= 45 (3.6)
= 162
shortest distance from Sameer's house to his cousin's house = 162 miles
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