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?
Trig - Henry, Saturday, June 25, 2011 at 6:34pm
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
tanA = Y/X = 94/222.8 = 0.4219,
A = 22.9deg.,CCW = N67.1E. = Bearing of
The largest angle = 90deg.
The smallest angle = 22.9deg.,CCW.