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For each diagram, find: the bearing of P from Q.

Mathematics

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2 parts
a

255∘\text{255}^\circ

070∘\text{070}^\circ

b

310∘\text{310}^\circ

265∘\text{265}^\circ

a) Find the bearing of P from Q.

1. Diagram 1:
The bearing of Q from P is 075∘075^\circ.
To find the bearing of P from Q, we use the rule: if the bearing is less than 180∘180^\circ, add 180∘180^\circ.

Bearing of P from Q=075∘+180∘=255∘\text{Bearing of P from Q} = 075^\circ + 180^\circ = 255^\circ

The bearing of P from Q is 255∘\boxed{\text{255}^\circ}.

2. Diagram 2:
The bearing of Q from P is 250∘250^\circ.
To find the bearing of P from Q, we use the rule: if the bearing is greater than 180∘180^\circ, subtract 180∘180^\circ.

Bearing of P from Q=250∘−180∘=070∘\text{Bearing of P from Q} = 250^\circ - 180^\circ = 070^\circ

The bearing of P from Q is 070∘\boxed{\text{070}^\circ}.

b) Find the bearing of Q from P.

3. Diagram 3:
The bearing of Q from P is given as 130∘130^\circ.
(Assuming the question intends for us to find the reverse bearing, i.e., the bearing of P from Q, as is common in these exercises and consistent with part a). If it literally means "find the bearing of Q from P" when it's already given, the answer is simply 130∘130^\circ. I will proceed with finding the bearing of P from Q.)
The bearing of Q from P is 130∘130^\circ.
To find the bearing of P from Q, we use the rule: if the bearing is less than 180∘180^\circ, add 180∘180^\circ.

Bearing of P from Q=130∘+180∘=310∘\text{Bearing of P from Q} = 130^\circ + 180^\circ = 310^\circ

The bearing of P from Q is 310∘\boxed{\text{310}^\circ}.

4. Diagram 4:
The diagram shows the bearing of P from Q is 085∘085^\circ.
To find the bearing of Q from P, we use the rule: if the bearing is less than 180∘180^\circ, add 180∘180^\circ.

Bearing of Q from P=085∘+180∘=265∘\text{Bearing of Q from P} = 085^\circ + 180^\circ = 265^\circ

The bearing of Q from P is 265∘\boxed{\text{265}^\circ}.

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