# Trig/Precal

posted by .

An airplane flies on a compass heading of 90° at 310 mph. The wind affecting the plane is blowing from 332° at 40 mph. What is the true course and ground speed of the airplane?

• Trig/Precal -

flying: 90sin310 E + 90 cos310 N
windblowing: 40sin(332-180)E+40cos(332-180)N

result: East(90sin310+40sin152)+North(90cos310+40cos152)

figure those, and you are near the end. Post your questions if you get lost from here.

• Trig/Precal -

Airplane going N 60 degrees W at a speed of 400 mph. What wind direction, at a speed of 75 mph will produce a resultant direction of N 50 degrees W.

## Similar Questions

1. ### word problem

An airplane is flying with a heading of 60 degrees east of north at 450 mph. A wind is blowing at 37 mph from the north. Find the plane's ground speed to the nearest mph and direction to the nearest degree. Thanks.
2. ### Precalculus

Pilot Reem Ahmad's flight plan has her leaving Dulles International Airport and flying a Boeing 727 due east at 450 mph. There is a 65 mph wind with the bearing 60 degrees. a. Determine the compass heading that Reem should follow. …
3. ### Trig

An airplane is flying on a compass heading (bearing) of 340 degrees at 325 mph. A wind is blowing with the bearing 320 degrees at 40 mph. Find the component form of the velocity of the airplane. then find the actual ground speed and …
4. ### trig

An aifplane is flying on a compass heading (bearing) of 170* at 460 mph. A wind is blowing with the bearing 200* at 80mph. a) Find the component form of the velocity of the airplane. b) Find the actual ground speed and direction of …
5. ### trig

An airplane flies with a speed of 425 mph and a heading of 63°. If the heading of the wind is 24°and the speed of the wind is 31 mph, what is the heading of the plane and the ground speed?
6. ### Math

an airplane is flying a compass of 340 degrees at 325 mph. A wind is blowing with the bearing 300 degrees at 30 mph. Find the component form of the velocity, and find the actual ground speed and direction of the plane.
7. ### trig

An airplane has air speed of 540 mph and a heading of 50*. The wind is blowing from the north at 27 mph. Find the plane's ground speed and course direction.
8. ### Trig

In still air, an airplane is flying at 100 mph. It encounters a wind blowing toward the west at 50 mph. What should be the plane's compass heading for its course to be N30ºW?
9. ### Math

an airplane is flying with an airspeed of 145 mph and a heading of 84.5 degrees. q wind of 24.6 omh is blowing at a heading of 68.4 degrees. find the ground speed and course of airplane
10. ### Trig/PreCalc

An airplane is flying on a compass heading of 160 degrees at 425 mph. A wind is blowing with the bearing 200 degrees at 75 mph. Find the actual speed and direction of the airplane.

More Similar Questions