precal
posted by brandy .
a pilot wants to fly on a bearing of 66.4 degrees. by flying due east, he finds that a 57mph wind, blowing from the south, puts him on course. Find the airspeed of the plane.
Sketch this. He flys east unknown speed. The plane goes at 66.4, unknown speed. The N vector is 57
Isnt tan theta= airspeed/57= tan66.4 ?
solve for airspeed,
airspeed= 57 tan66.4
Respond to this Question
Similar Questions

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? 
Physics
a plane has an airspeed of 200 mph. the pilot wants to reach a destination 600 miles east but a wind is blowing 50 mph 30 degrees North of East. What direction must the pilot head the plane in order to reach the destination? 
Trigonometry
A pilot is flying at 200 miles per hour (airspeed), and wants his flight path (course or actual direction) to be on a bearing of 237 degrees. A wind is blowing for the north at 40 miles per hour. Find the bearing he should fly, and … 
Trig
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? 
Precalculus
Okay I am soo confused with these two questions: The resultant of two forces acting on a body has a magnitude of 80 pounds. The angles between the resultant and the forces are 20° and 52°. Find the magnitude of the larger force. … 
PhysicsASAP
A plane has an airspeed of 200 {mph}. The pilot wishes to reach a destination 600 {mi} due east, but a wind is blowing at 50 {mph} in the direction 30 degrees north of east. a)In what direction must the pilot head the plane in order … 
Physics
A plane is heading due south with an airspeed of 211 mph. A wind from a direction of 53 degrees is blowing at 17 mph. Find the bearing of the plane. (Note that bearings are measured from north, clockwise.) Round results to appropriate … 
trig
A plane is flying due south at a speed of 192 mph. a wind is blowing in at 53 degrees at 13 mph. what is the bearing of the plane? 
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? 
Pre calculus
A plane is headed due south with an airspeed of 190 mph. A wind from the direction of S 40 degrees W is blowing at 30 mph. Find the groundspeed of the plane, rounded to the nearest whole number