Solve the problem.
-A ship travels 82 km on a bearing of 24°, and then travels on a bearing of 114° for 162 km. Find the distance from the starting point to the end of the trip, to the nearest kilometer.

Question

Quizplus · Accepted Answer

The problem involves calculating the distance between the starting point and the endpoint of a trip with two legs at different bearings. This can be solved using the law of cosines in a triangle formed by the starting point, the turning point, and the endpoint. The angle between the two legs of the trip is 114° - 24° = 90°. Since one angle is 90 degrees, we can use the Pythagorean theorem instead. The distance is $\sqrt{82^2 + 162^2}$ ≈ 182 km, rounding to the nearest kilometer.

Solve the Problem. -A Ship Travels 82 Km on a Bearing of 24°