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The Island Loop Ferry takes the same route multiple times a day. It starts at the port of
Seabreeze Village and travels due south for 8 miles to the town of Oceanview. From there, it travels due east for 15 miles to Portlandville. Finally, it makes a straight-line journey back to Seabreeze Village. If the ferry can travel 5 miles on a gallon of fuel, how many gallons does the ferry use to complete the route one time?

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ashishdwivedilVT

The distance between port 3 to port 1 is 7.7 miles.

What is Distance?

Distance is the length along a line or line segment between two points on the line or line segment.

Here, a rough sketch is attached.

The angle between 3.5 and 6 is = (90ā° + 15ā°) = 105ā°.

We will need the law of cosine = [tex]\sqrt{a^2 + b^2 -2abcos\alpha }[/tex]

So the distance between port 3 to port 1 is:

Ā  Ā  Ā  [tex]\sqrt{3.5^2 + 6^2 -2 X 3.5 X 6 X cos 105 }[/tex]

Ā  Ā  = 7.6889

Ā  Ā  ā‰ˆ 7.7

Thus, the distance between port 3 to port 1 is 7.7 miles.

Learn more about Distance from:

https://brainly.com/question/15172156

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