Question

The Colonel spots a campfire at a bearing N 71 ∘ E from his current position. Sarge, who is positioned 235 feet due east of the Colonel reckons the bearing to the fire to be N 45 ∘ W from his current position. Determine the distance from the campfire to each man, rounded to the nearest foot.

Answer 1

Explanation:

From the question we are told that:

Campfire Bearing from Colonel

Distance b/w Colonel and Sarge

Campfire Bearing from Sarge

Generally the angles x' and y' are solved

Generally the angle z' is solved

Sum of angles of a triangle is 180

Therefore

Generally the sine rule equation for for all distances is mathematically given by

Generally the the distance b/w the Colonel and the campfire X is mathematically given as

Generally the the distance b/w Sarge and the campfire X is mathematically given as