Bearings Problems

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Bearings Problems

• Trigonometry

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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 ?

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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 ?

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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 ?

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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 ?
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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.