Chapter 31.3
Applications of the sine law and cosine law
What You'll Learn
Apply the Law of Sines to solve real-world distance and bearing problems
Apply the Law of Cosines when given side-angle-side configurations
Interpret bearing angles and convert them into workable triangle angles
Identify and handle ambiguous cases (SSA) with two possible triangle solutions
Combine multiple trigonometric laws to solve multi-step navigation problems
What You'll Practice
1
Solving bearing problems with given distances and directional angles
2
Finding unknown distances in triangles using sine and cosine laws
3
Working through ambiguous SSA cases with two triangle solutions
4
Multi-step problems combining bearings, distances, and angle calculations
Why This Matters
The sine and cosine laws are essential for real-world navigation, surveying, and distance estimation. Whether you're working in aviation, marine navigation, engineering, or GPS technology, these tools let you solve practical problems involving indirect measurements and directional bearings.
Before You Start — Make Sure You Can:
This Unit Includes
3 Video lessons
Practice exercises
Skills
Law of Sines
Law of Cosines
Bearings
Ambiguous Case
Triangles
Distance Problems
Navigation
Trigonometry
