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## Bearings Problems

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**Bearings Problems**Trigonometry**Bearings Problems**• Dundee is 84 km due south of Aberdeen. • A ship at sea is on a bearing of 078° from Aberdeen and 048° from Dundee. • How far is the ship from Dundee and from Aberdeen ? • An aeroplane is 240 km from an airport on a bearing of 100° while a helicopter is • 165 km from the airport on a bearing of 212°. How far apart are the aircraft ?**Bearings Problems**• A ship sails 80 km on a bearing of 060° from its home port. • It then sails 93 km on a bearing of 134°. • How far is it now from its home port ? • Glasgow airport is 73 km from Edinburgh airport and lies • to the west of Edinburgh airport. • The bearing of an aeroplane from Glasgow airport is 040° while • its bearing from Edinburgh airport is 300°. • How far is the aeroplane from each airport ?**Bearings Problems**• A ship sails 74 km south from its port to a lighthouse. • It then sails 85 km on a bearing of 160°. • How far is the ship from the port ? • From a port P, ship A is 144 km distant on a bearing of 036° and • ship B is 97 km distant on a bearing of 114°. • What is the distance between the two ships ?**Bearings Problems**• A ship sails 93 km on a bearing 054° and then • another 108 km on a bearing of 110°. • How far is it now from its starting point ? 8. Two radar stations Alpha and Beta pick up signals from an incoming aircraft. Alpha is 40 km east of Beta and picks up the signals on a bearing of 300°. Beta picks up the signals on a bearing of 070°. How far is the aircraft from Alpha and from Beta ?**Bearings Problems**9. Aeroplane P is 200 km from an airport on a bearing of 208° while aeroplane Q is 170 km from the same airport on a bearing of 094°. How far apart are the two aeroplanes ? 10. The bearings and distances from Aberdeen of three oil platforms are : a) 028° 116 km b) 081° 104 km c) 138° 97 km A supply boat leaves Aberdeen, visits each platform and then returns to Aberdeen. Find the total length of the journey.