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A ship sets out to sail a point 124 km due north. An unexpected storm blows the ship to a point 72.6 km to the north and 31.4 km to the east of its starting point. How far, and in what direction, must it now sail to reach its original destination?

A ship sets out to sail a point 124 km due north. An unexpected storm blows the ship to a point 72.6 km to the north and 31.4 km to the east of its starting point. How far, and in what direction, must it now sail to reach its original destination?

Grade:11

2 Answers

Ravi
askIITians Faculty 69 Points
9 years ago
The ship moved 31.4km east and covered 72.6 km north. It has to cover 124 km north. The distance it needs to sail due north is 124-72.6=51.4km and is 31.4km east. It forms a right angled triangle with north distanceor side = 51.4km and east distance or side to be recovered as 31.4km The distance that needs to be covered to reach the destination is equal to its hypotenuse.

Hypt=[(51.4)2+(31.4)2]1/2
Nishant Vora IIT Patna
askIITians Faculty 2467 Points
9 years ago
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