Mastering Trigonometry (SOHCAHTOA)
Mathematics
Grade 8
12 questions
~24 mins
0 views0 downloads
About This Worksheet
A worksheet covering Trigonometry (SOHCAHTOA) for Grade 8 students, focusing on understanding and applying the fundamental ratios in right-angled triangles.
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Mastering Trigonometry (SOHCAHTOA)
Subject: MathematicsGrade: Grade 8
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Date:
Untitled Worksheet
Grade Grade 8
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 5 cm and the hypotenuse is 13 cm. Calculate sin A.
[2 marks]2.
Given a right triangle with adjacent side 8 cm and hypotenuse 10 cm, find cos B where B is the angle opposite the side measuring 6 cm.
[2 marks]3.
Calculate tan A if the opposite side is 7 cm and the adjacent side is 24 cm.
[2 marks]4.
In a triangle, the side opposite angle C is 9 cm, and the side adjacent to C is 12 cm. Find sin C.
[2 marks]5.
A ladder leans against a wall forming a 60° angle with the ground. If the ladder is 10 meters long, how high does it reach on the wall?
[3 marks]6.
A right-angled triangle has one angle of 45°. If the hypotenuse is 14 cm, find the length of the legs.
[3 marks]7.
In a triangle, the side opposite to angle D is 15 cm, and the side adjacent to D is 20 cm. Find tan D.
[2 marks]8.
Calculate the angle if sin θ = 0.6.
[2 marks]9.
A ramp makes an angle of 30° with the ground. If the ramp is 9 meters long, what is the height of the ramp at the top?
[3 marks]10.
A tree casts a shadow 12 meters long when the sun's angle of elevation is 45°. How tall is the tree?
[3 marks]11.
Challenge: A crane lifts a load to a height of 20 meters. If the crane's arm makes a 75° angle with the ground, what is the length of the crane's arm?
[4 marks]12.
Real-world application: A surveyor measures a hill's slope. The angle of elevation from a point 50 meters away is 30°. What is the height of the hill at that point?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet