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Orville walks 270 m due east. He then continues walking along a straight line, but in a different direction, and stops 230 m no...Asked by Michael
Orville walks 330 m due east. He then continues walking along a straight line, but in a different direction, and stops 160 m northeast of his starting point. How far did he walk during the second portion of the trip and in what direction?
Answers
Answered by
Steve
use the law of cosines. The distance z is found using
z^2 = 330^2 + 160^2 - 2*330*160 cos 45°
and the direction is θ (measured from due east) where
tanθ = (160/√2)/(160/√2 - 330)
z^2 = 330^2 + 160^2 - 2*330*160 cos 45°
and the direction is θ (measured from due east) where
tanθ = (160/√2)/(160/√2 - 330)
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