Your answer is incorrect. Try again. Oasis B is a distance d = 8.0 km east of oa

Question

Your answer is incorrect. Try again. Oasis B is a distance d = 8.0 km east of oasis A, along the x axis shown in the Figure. A confused camel, intending to walk directly from A to B instead walks a distance W1 = 22 km west of due south by angle theta1 = 15.0degree. It then walks a distance W2 = 33 km due north. If it is to then walk directly to B, (a) how far (in km) and (b) in what direction should it walk (relative to the positive direction of the x axis)? Number Units km Number Units degree (degrees)

Explanation / Answer

w1=22km west of due south

w1=-22cos15j-22sin15i=-21.25j-5.69i

w1=33km dur north=33j

w3=w1+w2=5.69i-21.25j=33j=-5.69i+11.75j

w3=5.69^2+11.75^2=13.05km

=tan^-1(-11.75/5.69)=-64.16 northof east from A say this the new position C

to reach B directly from C

w=-5.69i+11.75j-8i=-13.69i+11.75j

w=13.69^2+11.75^2=18.04km

1=tan^-1(-11.75/13.69)=-40.63 so 139.37 with +ve X-axis

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