Bearings Practice

Two towers are on a north-south line. From tower A, a ship is located at a bearing of 247°. From tower B, the ship is located at a bearing of 337°. Find the distance between the towers if the distance from tower A to the ship is 2572 meters.

Two lighthouses are on an east-west line. From lighthouse C, a boat in distress is 15.4 miles away with a bearing of 328°. From lighthouse D, the boat has a bearing of 58°. How far will a rescue boat have to travel from D to get to the boat?

Radar stations A and B are on an east-west line, 3.7 km apart. Station A detects a plane at C, with a bearing of 61°. Station B also detects the plane with a bearing of 331°. Find the distance from A to C.

The bearing from point X to point Z is S 52° E. The bearing from X to Y is N 84° E. The bearing from Y to Z is S 38° W. If the distance from X to Z is 50 m, find the distance from X to Y.

The corners of a triangular piece of land are located on a map as points R, S, and T. From R, point S is N 26° W. From S, point T is S 64° W. If RS is 528 ft, and RT is 945 ft, find m ∠T and the distance from S to T. (hint: type answers in order of question)