trig
posted by Caroline .
An airplane pilot wishes to maintain a true course in the direction 250° with a ground speed of 400 mi/hr when the wind is blowing directly north at 60 mi/hr. Approximate the required airspeed and compass heading

I have a triangle with sides 60 and 400 and the contained angle is 70°
let the resultant be R
R^2= 60^2 + 400^2  2(60)(400) cos70°
= 147183.0331
R = 383.64 mi/h
finding the angle opposite the 70°
sinØ/60 = sin70/R
sinØ = .14696..
Ø = 8.45°
so the compass heading is 250 + 8.45 = 258.5°
Respond to this Question
Similar Questions

physics
An airplane flies at airspeed (relative to the air) of 400km/h. The pilot wishes to fly due North (relative to the ground) but there is a 110km/h wind blowing Southwest (direction 225º clockwise from North). In what direction should … 
physics
An airplane pilot wishes to fly due west. A wind of 82.0m/s is blowing toward the south.If the airspeed of the plane (its speed in still air) is 375.0 km/h, in which direction should the pilot head? 
Calculus
A pilot wishes to reach an airport 350 Km due east from his present position. The wind is blowing from N25degreesE with a speed of 80 Km/h and the planes airspeed is 400 Km/h. What ground speed and what heading should the pilot steer … 
Physics
The air speed indicator of a plane that took off from Detroit reads 373 km/h and the compass indicates that it is heading due east to Boston. A steady wind is blowing due north at 42.3 km/h. Calculate the speed of the plane with reference … 
Trig/Precal
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? 
Physics
An airplane ﬂies at airspeed (relative to the air) of 430 km/h . The pilot wishes to ﬂy due North (relative to the ground) but there is a 43 km/h wind blowing Southwest (direction 225◦). In what direction should … 
Physics
The air speed indicator of a plane that took off from Detroit reads 349 km/h and the compass indicates that it is heading due east to Boston. A steady wind is blowing due north at 46.5 km/h. a) Calculate the speed of the plane with … 
math
An airplane is flying from Montreal to Vancouver. The wind is blowing from the west at 60km/hour. The airplane flies at an airspeed of 750km/h and must stay on a heading of 65 degrees west of north. A) what heading should the pilot … 
Physics
An airplane flies at airspeed (relative to the air) of 470 km/h . The pilot wishes to fly due North (relative to the ground) but there is a 64 km/h wind blowing Southwest (direction 225◦). In what direction should the pilot head … 
mastering physics
An airplane pilot wishes to fly due west. A wind of 90.0 km/h is blowing toward the south.If the airspeed of the plane (its speed in still air) is 305.0 km/h , in which direction should the pilot head?