CAH: Challenge & Extension
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the CAH part of SOHCAHTOA, designed to challenge and extend Grade 7 students' understanding of calculating sides in right-angled triangles. It includes procedural, problem-solving, real-world, and extension questions.
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CAH: Challenge & Extension
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 angle measures 30°, and the side adjacent to this angle is 10 cm. Use CAH to find the length of the hypotenuse.
[3 marks]2.
A ladder leans against a wall, forming a 45° angle with the ground. The ladder's foot is 8 meters from the wall. Calculate the length of the ladder using CAH.
[4 marks]3.
A tree casts a shadow 15 meters long when the angle of elevation of the sun is 60°. Find the height of the tree.
[4 marks]4.
Construct a right-angled triangle where the side adjacent to the 45° angle is 12 cm. Use CAH to determine the hypotenuse.
[3 marks]5.
A ramp makes a 30° angle with the ground. If the ramp's length is 10 meters, find the height of the ramp using CAH.
[3 marks]6.
A sports field is sloped so that the angle of elevation from the base to the top of a raised platform is 25°. If the horizontal distance from the platform to the observer is 20 meters, find the height of the platform.
[4 marks]7.
A drone is flying at an altitude of 50 meters. The angle of depression to a point on the ground directly below is 60°. How far is the drone from that point horizontally?
[3 marks]8.
A lighthouse stands 40 meters tall. From a boat, the angle of elevation to the top of the lighthouse is 20°. Use CAH to estimate the distance from the boat to the lighthouse.
[4 marks]9.
Identify and correct the error in this statement: 'To find the hypotenuse using CAH, you use the cosine of the angle.'
[2 marks]10.
A triangular signpost has an angle of 55° with the ground, and the side adjacent to this angle is 3 meters. Use CAH to find the hypotenuse.
[3 marks]11.
A building casts a shadow 20 meters long when the angle of elevation of the sun is 45°. Use CAH to find the height of the building.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet