Bearings in Multi-Leg Journeys

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Thames
T
Thames
Community Contributor
Quizzes Created: 7049 | Total Attempts: 9,519,298
| Questions: 20
Please wait...
Question 1 / 20
0 %
0/100
Score 0/100
1) A boat sails 15 km on a bearing of 070°, then 20 km on a bearing of 160°. To find the straight-line distance from its starting point, which law is most efficient?
Submit
Please wait...
About This Quiz
Bearings In Multi-leg Journeys - Quiz

What happens when a traveler changes direction multiple times? In this quiz, you’ll solve multi-leg bearing problems using trigonometric laws to find straight-line distances. You’ll apply the Law of Cosines and Law of Sines to determine total displacement after several turns. Each scenario helps you understand how navigators piece togethe... see moreroutes from bearings and distances — and calculate exactly how far they’ve really gone! see less

2)
We’ll put your name on your report, certificate, and leaderboard.
2) A hiker travels 8 km due north, then 6 km on a bearing of 120°. What information is needed to apply the Law of Cosines?
Submit
3) A ship travels 10 km on a bearing of 045°, then 12 km on a bearing of 135°. Which triangle type is formed when computing displacement?
Submit
4) In multi-leg bearing problems, why is the Law of Cosines often preferred over the Law of Sines?
Submit
5) A plane flies 100 km on a bearing of 030°, then 120 km on a bearing of 120°. How far is it from its start (nearest km)?
Submit
6) A car travels 40 km due east, then 30 km on a bearing of 150°. Which law helps find the straight-line distance back to the start?
Submit
7) A ship goes 50 km on a bearing of 060°, then 70 km on a bearing of 140°. Which side of the triangle represents total displacement?
Submit
8) A cyclist travels 15 km east, then 20 km at a bearing of 120°. What’s the best method to find the displacement?
Submit
9) A boat sails 25 km at a bearing of 045°, then 30 km at a bearing of 135°. How far is it from the start (nearest km)?
Submit
10) A plane flies 200 km on a bearing of 020°, then 250 km on a bearing of 110°. Which formula applies to find its distance from the start?
Submit
11) In bearings problems, what is typically the known angle when applying the Law of Cosines?
Submit
12) A ship goes 60 km at a bearing of 090°, then 80 km at a bearing of 180°. How far is it from port (nearest km)?
Submit
13) A hiker walks 12 km at a bearing of 045°, then 15 km at a bearing of 135°. Which law should be used?
Submit
14) Two planes leave an airport: one flies 150 km on a bearing of 030°, the other 200 km on a bearing of 120°. How far apart are they?
Submit
15) A boat sails 100 km on a bearing of 060°, then 120 km on a bearing of 150°. What is its displacement?
Submit
16) Which triangle case do multi-leg bearing problems usually form?
Submit
17) A plane flies 80 km at a bearing of 045°, then 100 km at 135°. What is its displacement (nearest km)?
Submit
18) Why can’t the Pythagorean Theorem usually be applied in bearings problems?
Submit
19) A ship goes 40 km at a bearing of 010°, then 50 km at a bearing of 100°. How far is it from port (nearest km)?
Submit
20) In multi-leg journeys, which of the following is essential before applying the Law of Cosines?
Submit
View My Results

Quiz Review Timeline (Updated): Oct 13, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Oct 13, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 05, 2025
    Quiz Created by
    Thames
Cancel
  • All
    All (20)
  • Unanswered
    Unanswered ()
  • Answered
    Answered ()
A boat sails 15 km on a bearing of 070°, then 20 km on a bearing...
A hiker travels 8 km due north, then 6 km on a bearing of 120°. What...
A ship travels 10 km on a bearing of 045°, then 12 km on a bearing of...
In multi-leg bearing problems, why is the Law of Cosines often...
A plane flies 100 km on a bearing of 030°, then 120 km on a...
A car travels 40 km due east, then 30 km on a bearing of 150°. Which...
A ship goes 50 km on a bearing of 060°, then 70 km on a bearing of...
A cyclist travels 15 km east, then 20 km at a bearing of 120°....
A boat sails 25 km at a bearing of 045°, then 30 km at a bearing...
A plane flies 200 km on a bearing of 020°, then 250 km on a bearing...
In bearings problems, what is typically the known angle when applying...
A ship goes 60 km at a bearing of 090°, then 80 km at a bearing of...
A hiker walks 12 km at a bearing of 045°, then 15 km at a bearing of...
Two planes leave an airport: one flies 150 km on a bearing of...
A boat sails 100 km on a bearing of 060°, then 120 km on a bearing...
Which triangle case do multi-leg bearing problems usually form?
A plane flies 80 km at a bearing of 045°, then 100 km at 135°....
Why can’t the Pythagorean Theorem usually be applied in bearings...
A ship goes 40 km at a bearing of 010°, then 50 km at a bearing of...
In multi-leg journeys, which of the following is essential before...
Alert!

Back to Top Back to top
Advertisement