SOH: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the SOH part of SOHCAHTOA to develop procedural mastery in finding sides of right-angled triangles. Includes a variety of questions from basic to challenging, with real-world applications and error analysis.
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Full preview • 11 questions
SOH: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a right-angled triangle, the side opposite the angle is 7 cm and the hypotenuse is 25 cm. Find the length of the adjacent side using SOH.
[3 marks]2.
Calculate the value of sin θ if the side opposite θ is 9 cm and the hypotenuse is 15 cm.
[2 marks]3.
A ladder leans against a wall, forming a 60° angle with the ground. The ladder is 10 meters long. How high does the ladder reach on the wall?
[4 marks]4.
Given a right triangle where sin θ = 3/5, find the length of the opposite side if the hypotenuse is 10 cm.
[3 marks]5.
Plot a right triangle on the grid where the angle θ is 45°, the hypotenuse is 14 units, and label the opposite and adjacent sides.
[4 marks]6.
In a right triangle, the adjacent side is 8 cm, and the angle θ measures 30°. Find the hypotenuse using SOH.
[3 marks]7.
A tree casts a shadow that is 12 meters long when the sun's angle of elevation is 45°. How tall is the tree?
[4 marks]8.
A kite is flying at a height of 30 meters. The angle between the string and the ground is 60°. Find the length of the string using SOH.
[3 marks]9.
Identify and correct the mistake in this calculation: sin θ = opposite/hypotenuse = 8/10 = 0.9.
[2 marks]10.
A right-angled triangle has an angle θ with sin θ = 0.8 and hypotenuse 20 cm. Find the length of the opposite side.
[3 marks]11.
Construct a right triangle where the opposite side is 5 units, the hypotenuse is 13 units, and determine the angle θ using SOH.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet