SOH: Error Analysis & Misconceptions
Mathematics
Grade 6
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to the SOH part of SOHCAHTOA in trigonometry for Grade 6 students.
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SOH: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Introduction
Review the key formula for SOH: sine of an angle = opposite / hypotenuse. Pay attention to the ratios and common misconceptions that can lead to errors.
1.
Explain in your own words what the SOH ratio represents in a right-angled triangle.
[2 marks]B
Fluency & Practice
Practice applying SOH to find missing sides in right-angled triangles.
1.
In a right triangle, if the angle is 30° and the hypotenuse is 10 cm, find the length of the side opposite the angle using SOH.
[3 marks]2.
Calculate the length of the hypotenuse if the opposite side is 4 cm and the angle is 45° using SOH.
[3 marks]3.
A triangle has an opposite side of 8 cm and an angle of 60°. Find the hypotenuse using SOH.
[3 marks]4.
If the sine of an angle is 0.5 and the hypotenuse is 12 cm, what is the length of the opposite side?
[3 marks]C
Problem Solving & Reasoning
Solve multi-step problems involving SOH and explain your reasoning.
1.
A ladder leans against a wall forming a 70° angle with the ground. The ladder is 15 meters long. Use SOH to find how high the ladder reaches on the wall.
[4 marks]2.
A person observes a flagpole and measures the angle of elevation as 45°. If the person is 20 meters away from the base, use SOH to find the height of the flagpole.
[4 marks]D
Real-world Applications
Apply SOH to solve real-world problems involving heights and distances.
1.
A surveyor measures the angle of elevation to the top of a building as 35°. If the surveyor is standing 100 meters from the building, estimate the height of the building.
[4 marks]2.
A kite is flying at a height of 50 meters. The angle between the string and the ground is 60°. How far is the kite horizontally from the person holding the string?
[4 marks]E
Challenge & Extension
Tackle these advanced problems to deepen your understanding of SOH.
1.
In a right triangle, the hypotenuse is 20 cm and the opposite side is 12 cm. Find the angle in degrees. Use SOH and check for common misconceptions.
[4 marks]2.
A tower casts a shadow of 30 meters when the sun’s angle of elevation is 75°. Find the height of the tower using SOH.
[4 marks]F
Mixed Review & Error Analysis
Identify and correct the common mistakes in the following problems.
1.
A student calculates the sine of an angle as Opposite / Hypotenuse and gets a value of 2. Is this correct? If not, what is the mistake and how should it be corrected?
[4 marks]2.
A student confuses the ratios and uses SOH to find the hypotenuse when given the Opposite and Adjacent sides. Explain what mistake is made and the correct method.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet