# Mathematics

A pilot flies a plane that averages approximately 210 km/hr. The plane leaves point A at a bearing of 40 degrees and flies two hours to point B. After a brief stop the plane leaves point B at a bearing of 125 degrees and flies for another 30 minutes before landing at point C. If the pilot wishes to fly from point C back to point A, determine:
a) The distance from point C to A
b) The bearing at which the pilot will have to fly to return to point A.

1. 👍 0
2. 👎 0
3. 👁 237
1. d1 = 210km/h * 2h = 420 km @ 40 Deg.
d2 = 210km/h * 0.5h = 105 km @ 125 Deg.

X=hor.=420*cos40 + 105*cos125 = 262 m.
Y=ver.=420*sin40 + 105*sin125 = 356 m.

tanA = Y/X = 356 / 262 = 1.35878.
A = 53.6 Deg.

a. d = X/cosA = 262 / cos53.6 = 442 m =
Dist. from C to A.

b. Bearing = 53.6 Deg. North of East or
36.4 Deg. East of North.

1. 👍 0
2. 👎 0
posted by Henry

## Similar Questions

1. ### Pre cal

1. An airplane flies 200 km on course 110 degrees from point A to point B. At point B the pilot changes course to 37 degrees. The plane then flies 100 km to point C. Find the magnitude of the net displacement from A to C. 2. A

asked by Henry on May 15, 2014
2. ### Math

A plane leaves an airport A (38.5N, 37.05W) and flies dues North to a point B on latitude 52N (a) Find the distance covered by the plane (b) The plane then flies due east to a point C, 2400km from B. Determine the position of C

asked by Kid on April 15, 2018
3. ### trigonometry

A plane starts from point P and flies 240km on a bearing of 120 degrees to Q. At Q the plane makes a 90 degree turn and flies 100km on a bearing of 210 degrees to R. At R the plane again changes directions and flies back to P.

asked by bob on September 26, 2018
4. ### math, trigonometry

a plane starts from a point P and flies 240km on a bearing of 120degrees to Q. At Q the plane makes a 90degree turn and flies back 100km on a bearing of 210degrees to R. At R the plane again changes direction and flies back to P.

asked by YaYeet on October 31, 2018
5. ### math

A plane leaves an airport and flies south at 120 mph. Later, a second plane leaves the same airport and flies south at 300 mph. If the second plane overtakes the first one in 5 1 2 hours, how much of a head start did the first

asked by Anonymous on October 2, 2018
6. ### PHYSICS

Two planes fly from toronto to philadelphia. Plane a flies via pittsburgh whereas passenger on plane B have a direct flight. Pittsburgh is 350km due south of Toronto and 390km due west of Philadelphia. The airspeed of both planes

asked by LILY on February 27, 2008
7. ### Physics

A plane flies horizontally at constant ground speed v=720km/h. The pilot is informed by an air traffic controller that he must immediately change his direction of flight while keeping the same altitude. The pilot performs a

asked by Crow on April 2, 2013
8. ### physics

A 75 kg pilot flies a plane in a vertical loop. At the top of the loop, when the plane is completely upside-down for an instant, the pilot hangs freely in the seat and does not push against the seat belt or seat. The airspeed

asked by leah on November 20, 2014
9. ### Algebra: 8th Grade; Equation Check

1) A private airplane leaves an airport and flies due south at 192 km/h. Two hours later a jet leaves at the same airport and flies due south at 960 km/h. When will the jet overtake the plane? t = time Equation: 192(t+3) = 960

asked by Meaghan on March 7, 2009
10. ### Math/calculus

A small plane leaves Victoria airport and flies at a compass heading of 330°. If the plane cruises at 125km/he for 90mins, how far north and how far west will the plane gave flown

asked by Jessica on November 13, 2017

More Similar Questions