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A boat leaves the dock and travels 5 miles de south, then 12 miles due west.How far is the boat from the dockDoaA 169 miB. 17 miC. 7 miOD. 13 mi

1 Answer

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10 votes

In order to determine the distance from the starting point to the boat. Consider that with the lengthd of the trajectories you can form a right triangle.

The hypotenuse of such a triangle is the required distance, then, use the Pithagorean theorem:

h² = c1² + c2²

where c1 = 5 mi and c2 = 12 mi. Replace these values into the formula for h:

h² = (5 mi)² + (12 mi)²

h² = 25 mi² + 144 mi²

h² = 169 mi²

h = √(169 mi²)

h = 13 mi

Hence, the dist

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