Will FAN and MEDAL A plane leaves airport A and travels 580 miles to airport B on a bearing of N34degreesE. The plane later leaves airport B and travels 400 miles to airport C on a beaning of S74degresE. Find the distance from airport A to airport C Did I put 74 in the correct spot? (picture)

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Will FAN and MEDAL A plane leaves airport A and travels 580 miles to airport B on a bearing of N34degreesE. The plane later leaves airport B and travels 400 miles to airport C on a beaning of S74degresE. Find the distance from airport A to airport C Did I put 74 in the correct spot? (picture)

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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74° is in the correct spot
to solve AC, wouldn't you just use the Pythagorean theorem ?

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It's a law of sines and cosines project so I have to use that somewhere

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