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3D Trigonometry
Name:
Class:
Date:
Mark
/8
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1) Calculate the angle between the line DF and the plane ABCD in the cuboid pictured below, giving
your answer to 1 decimal place.
F
G
E
H
B
A
5 cm
D
10 cm
C
6 cm
[1]
2) Calculate the angle between the line AF and the plane ABCD in the prism pictured below, giving your
answer to 1 decimal place.
E
F
5 cm
B
A
3 cm
D
C
9 cm
[1]
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3) Calculate the angle between the length AE and the base ABCD in the pyramid pictured below, giving
your answer to 1 decimal place.
E
10 cm
10 cm
B
C
3 cm
A
3 cm
D
[1]
4) Calculate the angle between the length BE and the base ABCD in the pyramid pictured below, giving
your answer to 1 decimal place.
E
9 cm
9 cm
B
C
3 cm
A
3 cm
D
[1]
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5) Calculate the angle between the line BH and the plane ABCD in the cuboid pictured below, giving
your answer to 1 decimal place.
F
G
E
5 cm
H
B
A
D
7 cm
C
2 cm
[1]
6) Calculate the angle between the face BCE and the base ABCD in the pyramid pictured below, giving
your answer to 1 decimal place.
E
8 cm
8 cm
B
C
3 cm
A
3 cm
D
[1]
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7) Calculate the angle between the length AE and the base ABCD in the pyramid pictured below, giving
your answer to 1 decimal place.
E
8 cm
8 cm
B
C
3 cm
A
3 cm
D
[1]
8) Calculate the angle between the line AF and the plane ABCD in the prism pictured below, giving your
answer to 1 decimal place.
E
F
8 cm
B
A
2 cm
D
C
9 cm
[1]
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute
Solutions for the assessment 3D Trigonometry
1) Angle = 52°
2) Angle = 27.8°
3) Angle = 77.8°
4) Angle = 76.4°
5) Angle = 34.5°
6) Angle = 79°
7) Angle = 74.6°
8) Angle = 40.9°
Copyright Mathster.com 2014. Licensed by Your School with permission to redistribute