Question 1201614
An airplane flies 200 km on a bearing of 335°. It then flies 100 km on a bearing of 170° and 400 km on 280°, and lands.


a) How far is the airplane from its starting point when it lands?


b) On what bearing could it have flown to complete its journey directly?
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Label the starting point A, then B, then C, then D.
AB = 200 at 125 degs wrt the x-axis.
x component = 200*cos(125)
y component = 200*sin(125
===
BC = 100 at 280 degs wrt the x-axis.
x component = 100*cos(280), y component = 100*sin(280)
===
CD = 400 at 170 degs wrt the x-axis
x component = 400*cos(170), y component = 400*sin(170)
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Add the x-comps and the y-comps to find the point D
Find the distance and angle from the Origin to D.
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An Excel sheet can be used to do this.
PS  To convert headings to degs wrt the x-axis, use 450 degs minus the heading MOD 360.
PPS  You can waste your life doing this one with triangles.  Use vectors.