o return to the old oak tree, in what direction should you head ? Solution Vecto
ID: 1950741 • Letter: O
Question
o return to the old oak tree, in what direction should you head ?Explanation / Answer
Vector A = -825j Vector B = -1250 sin 30i + 1250 cos 30j = -625i + 1082.5j Vector C = 1000 cos 40i + 1000 sin 40j = 766.0i + 642.8j Vector Sum = 141i + 900.3j Magnitude = v(141^2 + 900.3^2) = 911.3m (Answer) Direction: tan ? = 141 / 900.3 = 0.15661 ==> ? = 8.9° West of South (Answer) You may want to round these numbers off to whole numbers. [EDIT: As soon as I posted my result, I saw another answer, so I rechecked my "j" components and found no error. I believe the 900 is correct, and the directional bearing of 8.9° West of South is also correct. END EDIT] [ADD EDIT: The tangent of an angle is opposite over adjacent by definition, NOT y/x automatically. The bearing of 8.9° West of South is correct, since the angle ? is in the fourth quadrant just to the left of the negative y-axis. END EDIT]
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