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Grade 10
Develop spatial sense and proportional reasoning
3. Develop and apply primary trigonometric ratios to solve problems involving right triangles
3.5 Word problems relating guy wire in trigonometry
Guy Wire Word Problems in Trigonometry
A guy wire supporting a pole forms a right triangle: the wire is the hypotenuse, the pole is the vertical leg.
What You'll Learn
The pole is the opposite side; the wire is the hypotenuse; the ground distance is the adjacent side.
Use sine (pole/wire) to find the wire's length.
Use tangent (pole/distance) to find the anchor distance from the pole.
The setup is structurally the same as a ladder problem.
A pole with multiple wires forms a separate right triangle for each wire's angle.
What You'll Practice
1
Drawing right triangles from word problem descriptions involving guy wires and poles
2
Finding guy wire length using sine ratio with given tower height and angle
3
Calculating horizontal distance from pole base using cosine ratio
4
Solving equations with trigonometric functions to find unknown sides
Why This Matters
Guy wire problems prepare you for real engineering and construction applications where cables and supports must be calculated precisely. These skills apply to architecture, surveying, and any field requiring distance and angle measurements in practical scenarios.
This Unit Includes
2 Video lessons
Practice exercises
Learning resources
Skills
Right Triangles
Sine Ratio
Cosine Ratio
Angle of Elevation
Word Problems
Trigonometry
Problem Solving
MB Curriculum Aligned