Mastering Trigonometry (SOHCAHTOA)
Mathematics
GCSE Foundation
11 questions
~22 mins
0 views0 downloads
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A worksheet covering Trigonometry (SOHCAHTOA) for GCSE Foundation students.
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Mastering Trigonometry (SOHCAHTOA)
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a right-angled triangle, if the side opposite to angle θ is 5 units and the hypotenuse is 13 units, find cos θ.
[2 marks]2.
Calculate sin θ in a right triangle where the side opposite θ is 7 units and the hypotenuse is 25 units.
[2 marks]3.
Given a right-angled triangle with an angle of 30°, and hypotenuse 10 units, find the length of the side opposite the 30° angle.
[2 marks]4.
In a right triangle, if the side adjacent to angle θ is 8 units and the hypotenuse is 17 units, determine tan θ.
[2 marks]5.
Using SOHCAHTOA, find the value of θ (to 1 decimal place) if sin θ = 3/5.
[3 marks]6.
A ladder leaning against a wall forms a 60° angle with the ground. If the ladder is 12 meters long, how high does it reach on the wall?
[3 marks]7.
A kite is flying at a height of 50 meters. The string makes a 45° angle with the ground. How long is the string?
[3 marks]8.
In a right triangle, if the side adjacent to θ is 9 units and the opposite side is 12 units, find the value of θ (to 1 decimal place).
[3 marks]9.
A ramp makes a 25° angle with the ground. If the ramp is 4 meters long, what is the height of the ramp?
[3 marks]10.
Challenge: A lighthouse is 80 meters tall. From a point on the ground, the angle of elevation to the top of the lighthouse is 30°. How far is the observer from the lighthouse?
[4 marks]11.
Real-world application: A photographer is taking a picture of a building. The camera is 20 meters away from the building, and the angle of elevation to the top of the building is 45°. Find the height of the building.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet