TOA: Fluency & Practice
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the TOA aspect of SOHCAHTOA, aimed at developing procedural mastery and problem-solving skills for Grade 7 students.
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TOA: Fluency & Practice
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 length of the side opposite the 30° angle is 5 cm. Calculate the length of the side adjacent to the 30° angle using TOA.
[2 marks]2.
A ladder leaning against a wall forms a 60° angle with the ground. The ladder's length is 10 meters. Using TOA, find the height the ladder reaches on the wall.
[3 marks]3.
A tree casts a shadow 12 meters long when the angle of elevation of the sun is 45°. Calculate the height of the tree using TOA.
[2 marks]4.
Construct a right-angled triangle with one acute angle of 45° and the side opposite this angle measuring 6 cm. Use TOA to find the length of the side adjacent to this angle.
[3 marks]5.
A ramp makes an angle of 30° with the ground. If the horizontal distance from the start to the end of the ramp is 10 meters, calculate the length of the ramp using TOA.
[3 marks]6.
A surveyor measures the angle of elevation from a point on the ground to the top of a building as 35°. If the distance from the point to the building is 50 meters, find the height of the building.
[3 marks]7.
A kite is flying at a height of 20 meters. The angle of elevation from the ground to the kite is 60°. Using TOA, find the horizontal distance from the person to the point directly beneath the kite.
[2 marks]8.
A person stands 30 meters away from a tower. The angle of elevation to the top of the tower is 50°. Find the height of the tower using TOA.
[3 marks]9.
A right triangle has a hypotenuse of 13 cm and one leg of 5 cm. Use TOA to find the measure of the angle opposite the 5 cm side.
[3 marks]10.
An airplane is flying at an altitude of 1500 meters. When viewed from the ground, the angle of depression to the airplane is 45°. Calculate the horizontal distance from the observer to the point directly beneath the airplane.
[3 marks]11.
Error Analysis: A student calculated using TOA that tan(θ) = opposite/adjacent, but forgot to invert the ratio when solving for the side. Which mistake did they make and how can they correct it?
[2 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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet