Mastering Trigonometry (SOHCAHTOA)
Mathematics
GCSE Higher
11 questions
~22 mins
0 views0 downloads
About This Worksheet
A worksheet covering Trigonometry (SOHCAHTOA) for GCSE Higher students. It includes basic questions and applied problems to deepen understanding.
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Mastering Trigonometry (SOHCAHTOA)
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
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. Calculate the value of sin θ.
[2 marks]2.
A ladder leaning against a wall makes an angle of 60° with the ground. If the ladder is 10 meters long, find the height it reaches on the wall.
[3 marks]3.
Calculate cos θ if the side adjacent to θ is 15 cm and the hypotenuse is 20 cm.
[2 marks]4.
In a right triangle, the side opposite to angle θ is 9 cm and the side adjacent is 12 cm. Find tan θ.
[2 marks]5.
If sin θ = 3/5 and θ is in the first quadrant, find cos θ.
[2 marks]6.
A right-angled triangle has a hypotenuse of 13 cm and an adjacent side of 5 cm. Calculate the value of sin θ.
[2 marks]7.
In a triangle, the angle θ has sin θ = 0.6. Find the value of tan θ, assuming θ is acute.
[3 marks]8.
A tree casts a shadow 20 meters long when the angle of elevation of the sun is 45°. Find the height of the tree.
[3 marks]9.
A kite is flying at an altitude of 30 meters. The angle between the string and the ground is 30°. How long is the string?
[3 marks]10.
Challenge: A surveyor measures the angle of elevation to a hilltop as 25°. If the distance from the surveyor to the base of the hill is 500 meters, estimate the height of the hill.
[4 marks]11.
Real-world application: A flagpole casts a shadow 15 meters long when the angle of elevation of the sun is 30°. Calculate the height of the flagpole.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet