Question

A plane is flying at 240 mph heading North 60 degrees East. The wind is blowing at South 30 degrees East at 30 mph.

What is the largest and smallest angles?
Vp = 240mi/h, N60E = 30deg CCW.

Vw = 30mi/h, S30E = 300deg. CCW.

Add all hor components of velocity; and
then add all ver. components.

X = hor = 240cos30 + 30cos300 =
207.8 + 15 = 222.8mi/h.

Y = ver = 240sin30 + 30sin300 =
120 - 26 = 94mi/h.

Now we have a single rt triangle with
X and Y representing the hor and ver
side, respectively.

tanA = Y/X = 94/222.8 = 0.4219,
A = 22.9deg.,CCW = N67.1E. = Bearing of
the plane.

The largest angle = 90deg.

The smallest angle = 22.9deg.,CCW.




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