Question

write all angle measures as degrees and minutes and find lengths to the nearest whole unit. 1. a ship is sailing along the east coast of maryland on a course of 175°. 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.

Explanation:

Step1: Understand the concept of bearing

Bearing is measured clock - wise from the north. The ship's course is $175^{\circ}$. Since the line of sight to the lighthouse is at a right - angle to the ship's line of travel.

Step2: Calculate the bearing

If the ship is moving on a course of $175^{\circ}$, and the line of sight to the lighthouse is perpendicular to the ship's path. There are two cases:
Case 1: If we consider the direction relative to the ship's path. The bearing of the lighthouse can be $175^{\circ}- 90^{\circ}=85^{\circ}$ or $175^{\circ}+90^{\circ}=265^{\circ}$.
Since the lighthouse is on land, we assume the more likely case is $85^{\circ}$ (assuming the lighthouse is in the direction that makes sense in the context of the ship's movement and the land - side position).

Answer:

$85^{\circ}$