3D Trigonometry Worksheet for Grade 7
Mathematics
General
2 questions
~4 mins
0 views0 downloads
About This Worksheet
This medium level Trigonometry worksheet is designed for grade 7 to develop key mathematical skills. It includes 10 engaging problems covering essential concepts in Trigonometry. Perfect for classroom practice, homework, or assessment preparation. This worksheet helps students build confidence and proficiency in mathematics through structured practice with clear solutions provided.
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3D Trigonometry Worksheet for Grade 7
Subject: MathematicsGrade: General
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3D Trigonometry Worksheet for Grade 7
Mathematics
Instructions: Answer all questions carefully. For calculation questions, show your work in the provided grid spaces. Round your answers to two decimal places where applicable.
A
Angles in 3D Figures
Questions about measuring and calculating angles in three-dimensional objects like pyramids and cones.
1.
In a square pyramid, the slant height is 12 cm, and the base edge is 8 cm. Find the angle between the slant height and the base edge.
[2 marks]A30 degrees
B45 degrees
C60 degrees
D75 degrees
2.
A cone has a height of 15 cm and a radius of 9 cm. Calculate the angle between the slant height and the height of the cone.
[2 marks]A30 degrees
B45 degrees
C60 degrees
D75 degrees
B
Ratios in 3D Shapes
Questions involving ratios of sides, heights, and angles in three-dimensional objects.
1.
A rectangular prism has a length of 10 cm, width of 6 cm, and height of 8 cm. Find the ratio of the space diagonal to the height of the prism.
[2 marks]A2.00
B2.45
C3.00
D4.00
2.
The slant height of a pyramid is 10 cm, and the height is 6 cm. Find the ratio of slant height to height.
[2 marks]A1.33
B1.67
C2.00
D2.50
C
Trigonometric Identities in 3D
Apply basic identities to find unknown angles or side lengths in 3D figures.
1.
In a right-angled triangle on the surface of a pyramid, if sin(θ) = 3/5, find cos(θ).
[2 marks]A4/5
B3/4
C5/3
D4/3
D
Applications of 3D Trigonometry
Real-world problems involving angles and distances in 3D objects.
1.
A drone is flying at an altitude of 50 meters above the ground. The angle of elevation from a point on the ground 100 meters away from the drone is θ. Find θ.
[2 marks]A26.57 degrees
B30 degrees
C45 degrees
D60 degrees
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Details
- Created
- 4/25/2025
- Updated
- 12/29/2025
- Type
- worksheet