Bearings s small Example 1 Bearing of a
![Bearings s. small Bearings s. small](https://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-1.jpg)
Bearings s. small
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![Example 1 Example 1](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-9.jpg)
Example 1
![Bearing of a point P, from a reference point O • If P is Bearing of a point P, from a reference point O • If P is](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-10.jpg)
Bearing of a point P, from a reference point O • If P is south of O, then with reference to P, O is north of it. • O P
![Bearing is measured at North in a clockwise direction • To solve a problem Bearing is measured at North in a clockwise direction • To solve a problem](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-11.jpg)
Bearing is measured at North in a clockwise direction • To solve a problem draw a North pole line at the reference point to remind them that the measurement will be done from that point. O P
![• Bearing is always given in a 3 -digit figure • Please Note: • Bearing is always given in a 3 -digit figure • Please Note:](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-12.jpg)
• Bearing is always given in a 3 -digit figure • Please Note: although measuring the angles is very straight forward, there is something different from merely measuring from a reference point. When writing down the bearing of a point with reference to another point, it always will be a 3 -digit number. For example, The bearing of A from O = 090°. • A O P
![Triple – digit Numbers Why? ? • If one were to say “ 1, Triple – digit Numbers Why? ? • If one were to say “ 1,](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-13.jpg)
Triple – digit Numbers Why? ? • If one were to say “ 1, 1, 1” it is understood that it is 111°. However, if the target is at 30°, and one says “ 3, 0”, the other party will waste time translating it to 30° as he will be expecting a third digit. Therefore, by convention, bearings are given in 3 digits. This example will allow the you to see how relevant the topic is to everyday context also. •
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Examples
![A ship sails from harbour H on a bearing of 084 o for 340 A ship sails from harbour H on a bearing of 084 o for 340](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-19.jpg)
A ship sails from harbour H on a bearing of 084 o for 340 km until it reaches point P. It then sails on a bearing of 210 o for 160 km until it reaches point Q. • (a) Calculate the distance between point Q and the harbour. • (b) On what bearing must the ship sail to return directly to the harbour from Q?
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![A ship leaves a port on a bearing of 073º and sails 63 km. A ship leaves a port on a bearing of 073º and sails 63 km.](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-21.jpg)
A ship leaves a port on a bearing of 073º and sails 63 km. The ship then changes course and sails a further 60 km on a bearing of 110 o where it anchors. When it anchors it is 95 km from the port. Calculate the bearing of the ship from the port at this point.
![A ship's captain is plotting a course for the next voyage. He knows that A ship's captain is plotting a course for the next voyage. He knows that](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-22.jpg)
A ship's captain is plotting a course for the next voyage. He knows that he has to sail from Port D to port E on a bearing of 067 o for a distance of 800 km and from there to Port F on a bearing of 123 o. His course is shown in the diagram below. • (a) Make a copy of the diagram and calculate the size of angle DEF. • (b) New instructions come through which inform the captain that he has to sail directly from Port D to Port F, a distance of 1750 km. Calculate the bearing on which the ship should sail in order to carry out these instructions. Give the bearing to the nearest degree.
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1750 km
![A ship is at position A. Lighthouse L is on a bearing of 050 A ship is at position A. Lighthouse L is on a bearing of 050](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-24.jpg)
A ship is at position A. Lighthouse L is on a bearing of 050 o from the ship The ship then travels 60 kilometres on a bearing of 130 o to position B. From position B the captain now observes the lighthouse on a bearing of 340 o. Calculate the distance between the ship and the lighthouse when the ship is at position B.
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![A private flies for 143 miles on a bearing of 40 o. Then it A private flies for 143 miles on a bearing of 40 o. Then it](http://slidetodoc.com/presentation_image_h/b17efca822999c0fe086021d7e8edb5a/image-26.jpg)
A private flies for 143 miles on a bearing of 40 o. Then it turns on a bearing of 130 o, where he files for 165 miles before reaching his destination. • A) Sketch a diagram depicting what you understand by the scenario. • B) Determine the distance from the starting point to the destination of the plane. • C) Determine the angles in the triangle, giving your answer to 1 decimal place.
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