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Another bearings problem

Another bearings problem-example-1
User Ebenezer
by
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1 Answer

3 votes

Answer:

From Pine Knob: 56.57 km

From Colt Station: 20.71 km

Explanation:

The triangle internal angle (P) at Pine Knob is 80°-65° = 15°.

The triangle internal angle (C) at Colt Station is 70° +65° = 135°.

The triangle internal angle (F) at the fire is 180° -15° -135° = 30°.

Then the law of sines tells us ...

(Pine Knob to Fire)/sin(C) = (Colt Station to Fire)/sin(P) = (40 km)/sin(F)

That is ...

Pine Knob to Fire = (40 km)·sin(C)/sin(F) = (40 km)·sin(135°)/sin(30°) ≈ 56.57 km

Colt Station to Fire = (40 km)·sin(15°)/sin(30°) ≈ 20.71 km

Another bearings problem-example-1
User Momin IqbalAhmed
by
8.8k points

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