# trig

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A plane is is flying 240 mph heading N60°E. The wind is blowing S30°E at 30 mph.

What is ground speed?
What is the smallest angle in the triangle?
What is the biggest angle in the triangle?
What is the remaining angle in the triangle?
What is the bearing of the plane?

• trig -

If you make a diagram you will see that the wind is at right angles to the direction of the plane, so we can use basic trig.
Let Ø be the angle opposite the 30 , (the wind speed).
tan Ø = 30/240 = .125
Ø = 7.125°

the other angles are now easy, remember the largest is 90°

bearing of plane = N 67.125° E

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