posted by .

A ship is sighted directly east of a lighthouse. Another ship, which is 20m away from the first ship, is observed at a bearing of N25degreesE from the lighthouse. If the first ship is 4.1 km away from the lighthouse, what is the distance of the second ship from the lighthouse?

  • trigonometry -

    angle at ship B
    (sin 25)/20 = (sin A)/4.1
    sin A = .0866
    A = 4.97 deg
    angle at ship A
    A = 180 - 25 - 4.97 = 150.03 degrees
    then law of cosines
    d^2 = 20^2 + 4.1^2 - 2(20)(4.1)cosA

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Sorry for asking another question, but I don't know how to set this problem up. Ship A is due west of a lighthouse. Ship B is 12 km south of ship A. From ship B the bearing to the lighthouse is N63E. How far is ship A from the lighthouse?
  2. Mathamatics

    A ship is due south of a lighthouse. It sails on a bearing of 72* for 34 km when it is then due east of the lighthouse. Choose the one option which is closest to the distance (in km) of the ship from the lighthouse when it lies due …
  3. maths

    A lighthouse is 9.6 nautical miles from a ship which bears 156 degrees from the lighthouse.How far is the ship east of the lighthouse?
  4. maths

    A ship sailing on a course bearing 036 degrees is 5500 metres due south of a lighthouse.If the ship continues on this course,what is the closest distance the ship will come to the lighthouse?
  5. trigonometry

    The bearing of the lighthouse is N 68 degress E from a ship 43 miles from the lighthouse. How far north of the ship is the lighthouse?
  6. Math 12A Plain Trigonometry

    a boat leaves lighthouse P and sails 10 miles. At the same time, it is sighted from lighthouse Q, 13 miles west of P. The bearing of the ship from Q is North 70 degree and 30 minutes East. Find the distance of the ship from Q.
  7. Maths

    A ship is sighted from the top of a lighthouse. The angle of depression from the lighthouse to the top of the ship is 45 degrees. The distance from the top of the lighthouse directly to the ship is 4 miles. Calculate the horizontal …
  8. trigonometry (Course and Bearing)

    two lighthouses are situated such that B is 7 km directly east of lighthouse A. A ship at point P observes that A is due north and that the bearing of B is 46°10'. How far is the ship from A and B ?
  9. trigonometry

    At a certain time, a lighthouse is south of a ship. Thirty minutes later, the ship bears N40°20'E from the lighthouse. If the ship is sailing east at 20 kilometers per hour,find the distance of the ship from the lighthouse at each …
  10. Math

    A ship is sailing due north. At a certain point the bearing of a lighthouse is N 40∘E and the distance is 15.5. After a while, the captain notices that the bearing of the lighthouse is now S 54.9∘E. How far did the ship travel …

More Similar Questions