Post a New Question

Mathematics

posted by .

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.

  • Mathematics -

    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Trig

    A plane flies 1.3 hr at 100mph on a bearing of N40degreesE. It then turns and flies 1.5hr at the same speed on a bearing of S50degreesE. How far is the plane from its starting point?
  2. 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 plane …
  3. math

    A plane flies 90km on a bearing 030 degree and then flies 150km due east. How far east of the starting point is the plane?
  4. Ave maria catholic secondary school

    an aeroplane leaves an airport,flies due north for two hours at 500km/hr.it then flies 450km on a bearing 053.how far is the plane from the airport and what is its bearing from bearing from east
  5. Math

    A plane leaves an airport and flies South 58 Degrees East for 2 hours, then changes course to South 43 Degrees West and flies for 3 hours. How far away is the plane from the airport if it keeps a constant speed of 500km/h?
  6. Math

    a plane flies 1.5 hours at 110 mph on a bearing of 10°. it then turns and flies 8.5 hours at the same speed on a bearing of 100°. How far is the plane from its starting point?
  7. Math

    A plane flies 430 miles at a bearing of N27°E, then turns and flies N63°E for 135 miles. Find the distance and the bearing from the starting point to the ending point ?
  8. DamotAk mathematecs

    A plane flies 90KM on a bearing 040 and then flies 90KM due east how far is the plane from the starting point
  9. MATHS

    A PLANE FLIES 120km on a bearing of 045 and then flies 150km due east.how far east of the starting point is the plane?
  10. Trigonometry

    A pilot flies her plane on a bearing of 35 degrees minutes from point X to point Y, which is 400mi from X. Then she turns and flies on a bearing of 145 degrees to point Z, which is 400 mi from her starting point X. What is the bearing …

More Similar Questions

Post a New Question