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Overview
Grade 10
Develop spatial sense and proportional reasoning
3. Develop and apply primary trigonometric ratios to solve problems involving right triangles
3.3 Combination of SohCahToa questions
SOHCAHTOA Combination Questions
Combine sine, cosine, and tangent ratios to solve right-triangle problems in more than one step.
What You'll Learn
SOHCAHTOA: sine = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent.
Combination questions use more than one ratio in the same triangle.
Choose the ratio that connects what you know to what you need directly.
Example: tangent finds the opposite side, then cosine finds the hypotenuse.
Always check which two sides (or side and angle) you already have before picking a ratio.
What You'll Practice
1
Finding segment lengths by subtracting results from two overlapping triangles
2
Adding lengths from adjacent triangles to find total distance
3
Applying tangent ratio multiple times within the same problem
4
Solving problems requiring both angle calculation and side length determination
Why This Matters
Combining SOHCAHTOA ratios prepares you for real-world applications like surveying, navigation, and engineering where complex measurements require breaking problems into simpler triangles. This skill is essential for advanced geometry, physics, and calculus.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Learning resources
Skills
SOHCAHTOA
Trigonometric Ratios
Right Triangles
Multi-step Problems
Tangent
Complementary Angles
Problem Decomposition
MB Curriculum Aligned