Question

Towns p,q and s are shown Q is 35km due east of P Snis 15km due west of p r is 15km due south of p work out the bearing of r from s

Answer 1

Answer:

Step-by-step explanation:

Check attachment for diagram

From the diagram, we can apply Pythagoras theorem to right angle triangle RPS

Then,

Tan θ = opposite / adjacent

Tan θ = 15 / 15

Tan θ = 1

θ = arcTan(1)

θ = 45°

The angle is between the east and south

Then, the bearing of 45°S of east.

The direction is also β

Where

β + θ = 360°

β + 45 = 360°

β = 360 - 45

β = 315°