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Gnom [1K]
3 years ago
5

A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

ct answer: ____miles

Mathematics
2 answers:
Lilit [14]3 years ago
7 0

Answer:

15 miles

Step-by-step explanation:

This path forms a right angle triangle

Required distance is the

hypotenuse

sqrt(9² + 12²)

sqrt(225)

15

adelina 88 [10]3 years ago
3 0

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = \sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15

Thus, the answer is 15 miles.

Hope this helps!

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