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Bearings Problems

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Bearings Problems

Sine Rule and Cosine Rule

Bearings Problems

A set of problems on bearings, which need the sine rule and

the cosine rule to solve them.

Q1. The bearings and distances of two ships A and B from

a port P are A [036º,144km] and B [114º,97km].

How far apart are the ships?

Bearings Problems

A set of problems on bearings, which need the sine rule and

the cosine rule to solve them.

Q2. A ship leaves port and sails 93km

on a bearing 054º.

It then turns and sails 108km

on a bearing 110º.

How far is the ship from the port?

Bearings Problems

A set of problems on bearings, which need the sine rule and

the cosine rule to solve them.

Q3. Two radar stations Alpha and Beta pick up

signals from an incoming aircraft. Alpha is

40km east of Beta and picks up the

signals on a bearing of 300º from Alpha.

Beta picks up the signals on a bearing 070º.

How far is the aero plane from Alpha?

Bearings Problems

A set of problems on bearings, which need the sine rule and

the cosine rule to solve them.

Q4. An aero plane BA1445 is 200km from an

airport on a bearing 208º, while a second

aero plane Vir6334 is 170km from

the same airport on a bearing 094º.

How far apart are the aero planes?

Bearings Problems

A set of problems on bearings, which need the sine rule and

the cosine rule to solve them.

Q5. The bearings and distances

of two oilrigs from Aberdeen

are Oilrig1 [028º, 116km] and Oilrig2 [081º, 104km].

How far apart are the oilrigs?

Bearings Problems

A set of problems on bearings, which need the sine rule and

the cosine rule to solve them.

Q6. An aero plane leaves Heathrow

and flies 400km on a bearing 160º.

It then turns and flies 280km on a

bearing of 100º.

How far is it from the airport?

Bearings Problems

Q7. The bearings and distances of three

oil rigs from a port are

Oilrig1 [047º,210km]

Oilrig2 [110º,170km]

Oilrig3 [180º,100km]

A supply ship leaves port and visits the three

oilrigs one after the other and then returns to port.

Find the total distance traveled by the supply ship.

Solutions