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A ship leaves port for a remote island 34 miles west and 60 miles south of the port. Find the distance and bearing to the remote island.

What would the diagram look like to this problem? and what would the bearing be?

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The diagram would look like a right triangle. One leg has length 34 pointed left. From the end of that, the other leg points down with length 60.

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  • $\begingroup$ Okay that's what I thought and how would I find the bearing? $\endgroup$ – Ila Isabelle Apr 29 '14 at 22:41
  • $\begingroup$ You find the bearing with an arctangent function. $\endgroup$ – Ross Millikan Apr 29 '14 at 22:47
  • $\begingroup$ Okay thank you very much! $\endgroup$ – Ila Isabelle Apr 29 '14 at 22:48
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The answer would be $68.96$ after using Pythagorean theorem ($a^2+b^2=c^2$).

$$ \sqrt{4756}\approx 68.96.$$

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