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Trigonometry : Word Problem - Angle and Distance

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Starting at point A, a ship sails 24 km on a bearing of 211°, then turns and sails 33 km on a bearing of 302°. Find the distance of the ship from point A. Which is the correct answer?

57 km

73 km

16 km

40 km

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An angle and distance word problem is solved.

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You can solve this by using trigonometry, and adding component vectors, which is always dependent on your ability to draw the diagram. Using up as your 0 degree pointdraw an axis (a line straight up and one straight across. Measure 211 degrees and a line at 211 degrees, then add another up and down line at the end of the 211 degree line you just drew, and ...

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