Question

for #13 and 14, a ship is sailing along the east coast of maine. the ship’s navigator sights a lighthouse on land. the line of sight forms a right angle with the ship’s line of travel. find the bearing of the lighthouse for the course given. 13. 54° 14. 300°

Explanation:

Step1: Recall bearing concept

Bearing is measured clock - wise from north. When the line of sight to the lighthouse is at a right - angle to the ship's line of travel.

Step2: Calculate bearing for 13

If the ship's course is at an angle of $54^{\circ}$, and the line of sight to the lighthouse is at a right - angle to the ship's line of travel. The bearing of the lighthouse is $90^{\circ}+54^{\circ}=144^{\circ}$.

Step3: Calculate bearing for 14

If the ship's course is $300^{\circ}$, and the line of sight to the lighthouse is at a right - angle to the ship's line of travel. We consider the relative position. The bearing of the lighthouse is $300^{\circ}-90^{\circ}=210^{\circ}$.

Answer:

1. $144^{\circ}$
2. $210^{\circ}$