## Exam-Style Question on Bearings## A mathematics exam-style question with a worked solution that can be revealed gradually |

Question id: 231. This question is similar to one that appeared on a GCSE Higher paper in 2005. The use of a calculator is allowed.

A fishing boat is somewhere along the line from A to C.

(a) By measuring an angle, write down the three-figure bearing of the boat from A.

(b) The coastguard at B sees the ship on a bearing of 047°. On the diagram draw accurately the line showing a bearing of 047° from B.

(c) On the diagram mark the position of the fishing boat, F.

(d) Measure the length, in centimetres, of the line AB on the diagram.

(e) The distance from A to B is 12 kilometres. Calculate the scale of your copy of the map. Give your answer in the form 1 : n.

(f) There is a lighthouse at A. The range of the light from the lighthouse is 9.6 kilometres. Using your scale, draw the locus of points that are 9.6 kilometres from A.

(g) The boat is sailing straight for a lobster pot attached to a buoy at D. Draw the line FD on the diagram. How far is the boat from the lobster pot when the light from the lighthouse is first seen on the boat? Give your answer in kilometers correct to the nearest 100 metres.

(h) If the boat does not alter course it will arrive at D after 30 minutes. Calculate the speed of the boat in kilometers per hour.

(i) A knot is 1 nautical mile per hour. One nautical mile is equal to 1.85 kilometres. Calculate the speed found in part (h) in knots. Give your answer to one decimal place.

The worked solutions to these exam-style questions are only available to those who have a Transum Subscription. Subscribers can drag down the panel to reveal the solution line by line. This is a very helpful strategy for the student who does not know how to do the question but given a clue, a peep at the beginnings of a method, they may be able to make progress themselves. This could be a great resource for a teacher using a projector or for a parent helping their child work through the solution to this question. The worked solutions also contain screen shots (where needed) of the step by step calculator procedures. A subscription also opens up the answers to all of the other online exercises, puzzles and lesson starters on Transum Mathematics and provides an ad-free browsing experience. |

Drag this panel down to reveal the solution

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

Exam-Style Questions Main Page

To search the **entire Transum website** use the search box in the grey area below.

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

©1997 - 2019 Transum Mathematics :: For more exam-style questions and worked solutions go to Transum.org/Maths/Exam/