Question

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?
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

Related Questions

A pilot is flying at a heading of 96° at 225 miles per hour wind is blowing from the south west at a... An airplane is heading north at an airspeed of 500 km/hr, but there is a wind blowing from the north... A plane wants to fly east. It is capable of flying at 250 m/s, yet a 50 m/s wind is blowing [SW]. Wh... A plane is flying 225 mph heading S25°W. The wind begins blowing S80°E at 60 mph. What is the dire...