Maths A
posted by Bella .
Sue was sailing in the area shown on the chart on 3 March 2013. At 9:00 a.m., she sighted the antenna mast on Wellings Island on a bearing of 180°T. Sue also took a sighting to the lighthouse on Abby Island and found it was at an angle of 098°M.
(i) Sue sighted the antenna mast on a bearing of 180°T. Determine the true bearing from the antenna mast to Sue’s boat.
(ii) Steve was at the lighthouse at 9:00 a.m. on that day. What was (i) the magnetic bearing and (ii) the true bearing from Steve to Sue’s boat?
(iii) Using the information from (i), draw and label a sighting line from the antenna mast. Using the information from (ii), draw and label a sighting line from the lighthouse. Hence find Sue’s position on the chart at 9:00 a.m. Mark this position using the appropriate navigation symbol and label it with the time.
Note: Use the centre of the base of the mast symbol and the centre of the star of the lighthouse symbol as reference points.
c. At 10:50 a.m. on 10 March 2013, a vessel was at 30°30’S 150°E. From here, the vessel travelled on a course of 230ºM for 2 hours at an average speed of 10 knots. When this location was reached the vessel turned onto a heading that would enable it to reach the port at Nadia on Wellings Island.
(i) KP
Given that the variation in this area is 10°E, what was the true bearing for the first leg of this journey? How far had the vessel travelled by 12:50 p.m.? In millimetres, what length on the chart represents this distance travelled?
(ii) KP
Draw the two legs of the vessel’s journey on the chart. Label each of the lines.
(iii) KP
State the location of the vessel at its position near Sunday Island (end of the vessel’s 1st leg).
(iv) MP Level 3
If the vessel had delayed changing course until the second leg could be at 90º to the first leg, how much earlier or later would the vessel have arrived at Nadia assuming that the vessel travelled at an average speed of 10 knots through the whole trip? Give your answer to the nearest minute
Respond to this Question
Similar Questions

Math
Need help with setting up an equation for this problem: A boat is sailing due east parellel to the shoreline at a speed of 10 miles per hour.At a given time the bearing to the lighthouse is S 70 degrees E, and 15 minutes later the … 
pre calc
Lighthouse B is 8 miles west of lighthouse A. A boat leaves A and sails 5 miles. At this time, it is sighted from B. If the bearing of the boat from B is N63E, how far from B is the boat? 
math
While sailing, Donna sees a lighthouse and calculates that the angle of elevation to the lighthouse is 3d, as shown in the accompanying diagram. When she sails her boat 700 feet closer to the lighthouse, she finds that the angle 
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? 
maths
For the area shown on the attached chart, show/prove that the magnetic variation in 2013 would be 10°5’E. 
trigonometry
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 … 
Math
Lighthouse B is 7 miles west sof lighthouse A. A boat leaves A and sails 15 miles. At this time, it is sighted from B. If the bearing of the boat from B is N62degE, how far from B is the boat? 
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. 
algebra 2 trig
lighthouse b is 9 miles west of lighthouse A. a boat leaves A and sails 5 miles. At this time, it is sighted from B. If the bearing of the boat from B is N64 E, how far from B is the boat? 
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 …