Geometry

posted by .

A ship sails 5 km from a port A on a bearing of 85 degrees and then 6 km on a bearing of 50 degrees. Calculate the distance and bearing from A.

  • Geometry -

    calculate the horizontal and vertical replacements of each trip
    first trip:
    x/5 = cos85 , x = 5cos85
    y/5 = sin85 , y = 5sin85

    2nd trip:
    x/6 = cos50 , x = 6cos50
    y/6 = sin50 , y = 6sin50

    total horizontal displacement
    = 5cos85 + 6cos50 = appr 4.2925
    total vertical displacement
    = 5sin85 + 6sin50 = appr 9.5772

    now use Pythagoras ... to get

    √(4.2925^2 + 9.5772) = 40.4952

    or

    just add the vectors
    ((5cos85,5sin50) + (6cos50,6sin50) and take their magnitude.

    (the actual calculations are the same as above)

  • Geometry -

    THANK YOU

  • Geometry -

    Are we worried whether we use compass headings where North = 0 degrees, rather than East, and angles are measured clockwise?

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math- precalculus

    I've attempted this problem a few times but I can't get the right answer. Can someone show me how I can do it?
  2. Trig

    A ship leaves its homeport and sails on a bearing of N28degrees10'E. Another ship leaves the same port at the same time and sails on a bearing of S61degrees50'E. If the first ship sails at 24.0 mph and second sails at 28mph, find the …
  3. Math

    "A ship leaves port on a bearing of 34.0 degrees and travels 10.4 mi. The ship then turns due east and travels 4.6 mi. How far is the ship from port, and what is its bearing from port?
  4. Trig

    A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?
  5. Trig

    A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?
  6. Trig

    A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?
  7. trig

    Q1: Prove cos^2t+4cost+4/cost+2=2sect+1/sect Q2: A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from …
  8. Trig

    A ship leaves port with a bearing of S 40 W. After traveling 7 miles, the ship turns 90 degrees on a bearing of N 50 W for 11 miles. At that time, what is the bearing of the ship from port?
  9. mathematics

    from a point x a boat sails 6 km on a bearing of 038 degrees to a point y.it then sails 7 km from y on a bearing of 067 degrees to a point z.calculate the; a.distance XZ correct to two decimal places b.bearing of Z from X correct to …
  10. math

    A ship leaves POrt P and sails 28km away on bearing of 70 degrees to POrt Q. The ship then turns on a bearing of 160 degrees and sails 21km to POrt R. Find angle PQR, calculate the distance PR, Determine the bearing of R from P. angle …

More Similar Questions