Mastering Trigonometry (SOHCAHTOA)
Mathematics
GCSE Higher
10 questions
~20 mins
0 views0 downloads
About This Worksheet
A worksheet covering Trigonometry (SOHCAHTOA) for GCSE Higher students, focusing on understanding and applying the basic ratios to solve angles and side lengths in right-angled triangles.
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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 to angle A is 7 cm and the hypotenuse is 25 cm. Calculate the value of sin A.
[2 marks]2.
Given a right triangle where the adjacent side to angle B is 9 cm and the hypotenuse is 15 cm, find cos B.
[2 marks]3.
Calculate tan θ if the opposite side is 12 cm and the adjacent side is 5 cm.
[2 marks]4.
In a right-angled triangle, the side opposite to angle C is 10 cm and the hypotenuse is 26 cm. Find sin C.
[2 marks]5.
If cos A = 0.8 in a right-angled triangle, find the value of sin A.
[2 marks]6.
A ladder leans against a wall forming an angle of 60° with the ground. The foot of the ladder is 4 meters from the wall. Calculate the length of the ladder.
[3 marks]7.
A drone is flying at a height of 50 meters. The angle of elevation from a point on the ground 100 meters away from the drone is θ. Calculate tan θ.
[3 marks]8.
In a right triangle, the hypotenuse is 13 cm and one of the legs is 5 cm. Find the length of the other leg using Pythagoras and verify your result with trigonometry.
[4 marks]9.
A tree casts a shadow of 8 meters when the sun is at an angle of elevation θ. If the height of the tree is 10 meters, find the value of tan θ.
[2 marks]10.
Challenge: A lighthouse is 50 meters tall. From a point on the shore, the angle of depression to the top of the lighthouse is 30°, and to the bottom is 20°. Find the distance from the point to the lighthouse.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet