Navigation

A fisherman leaves his home port and heads in the direction N 70 degree W. He travels 30 mi and reaches Egg Island. The next day he sails N 10 degree E for 50 mi, reaching Forrest Island.

a) Find the distance between the fisherman's home port and Forrest Island.

b) Find the bearing from Forrest Island back to his home port.

I got part (a) right. It is 62.6 miles. But I don't understand how to find the bearing. Please help. Thanks.

Compute separately the total distance travelled in the x (east) and y (north) directions. Call them X and Y

The total distance travelled is sqrt(X^2+Y^2)
The bearing (neasured east from north) is
arctan X/Y

  1. 👍 1
  2. 👎 1
  3. 👁 612

Respond to this Question

First Name

Your Response

Similar Questions

  1. math

    A ship leaves port and travels 21km on a bearing of o32 degrees and then 45km on a bearing of 287 degrees. a. calculate its distance from the port. b. calculate the bearing of the port from the ship

    asked by Simon Silas Bako on February 23, 2019
  2. Maths

    A ship leaves a port and travels 21km on a bearing of 32 and then 45km on a bearing of 287 calculate its distance from the port and the bearing of the port from the ship

    asked by Nyebuchi on May 2, 2019
  3. Maths

    An Aeroplane X Whose Average Speed Is 500km/h Leaves Kano Airport At 7:00am And Travels For 2 Hours On A Bearing 050 Degree. It Then Changes Course And Flies On A Bearing 120 Degree To An Airstrip A. Another Aeroplane Y Leaves

    asked by Ahmed on June 17, 2020
  4. Math

    A ship leaves port at 1:00 P.M. and travels S35°E at the rate of 28 mi/hr. Another ship leaves the same port at 1:30 P.M. and travels S20°W at 18 mi/hr. Approximately how far apart are the ships at 3:00 P.M.? (Round your answer

    asked by Jade on August 1, 2017
  1. math

    The bearing of A and B from a port p are 225 degree and 116 degree respectively.ship A is 3.9 km from ship B on a bearing of 258 degree. Calculate the distance of ship A from p

    asked by miracle on November 14, 2017
  2. Math

    Two ships leave the same port at the same time. One ship sails on a course of 110 degree at 32 mi/h. The other sails on a course of 230 degree at 40 mi/h. Find the distance between them after 2 hours. Express your answer to the

    asked by Jane on March 5, 2018
  3. Math

    The bearing of ship A and B from a port P are 225 degree and 116 degree respectively.ship A is 3.9km from ship B on a bearing of 258 degree.calculate the distance of A from P.

    asked by Nzelu Racheal on July 10, 2019
  4. Mathematics

    Two ships A and B left a port each with a uniform speed on bearing 045 degree and x degree respectively. After 4hrs, they covered 100km and 120km respectively with B on a bearing of 105 degree from A. Calculate correct to 1

    asked by Nicholas on July 3, 2020
  1. AP Calculus

    Two ships sail from the same port. The first ship leaves port at 1:00a, and travels eastward at a rate of 15 knots. the second ship leave port at 2:00am and travels northward at a rate of 10 knots. Determine the rate at which the

    asked by Rachael on January 18, 2013
  2. linear momentum

    an 85kg fisherman jumps from a dock into a 135kg rowboat at rest on the west side of the dock, if the velocity of the fisherman is 4.3m/s to the west as he lives the dock, what is the final velocity of the fisherman and the boat?

    asked by twana on February 13, 2013
  3. Physics

    a body (A) is moving with a speed of 250m/s in the positive x-direction, collides with body (B) initially at rest and having the same mass as (A). after collision the speed of body (A) is 100m/s making 30 degree with the

    asked by Help, Thankyou on August 25, 2012
  4. 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.

    asked by Pamela on February 22, 2016

You can view more similar questions or ask a new question.