A plane's vector, p, has a magnitude of 200 miles/hour and a direction angle of 135°. Arrange the wind vectors u, v, w, x, y, and z in increasing order of the direction angles of their vector sums with vector p.

i believe it is c.y = 9x

rise over run. 9 units up over 1 unit right or 9/1

the answer is y = 11.54

hope this : )

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4