Question

The Island Loop Ferry takes the same route multiple times a day. It starts at the port of

Answer 1

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 = (90⁰ + 15⁰) = 105⁰.

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

So the distance between port 3 to port 1 is:

      $\sqrt{3.5^2 + 6^2 -2 X 3.5 X 6 X cos 105 }$

    = 7.6889

    ≈ 7.7

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

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