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Three Dimensional Trigonometry
D
V
G
H
10cm
6cm
C
C
D
F
B
8cm
C
12cm
B
A
E
D
5cm
8cm
12cm
B
1) ABCDV is a square-based pyramid.
AB=12cm and DV=10cm. Find:
(a) the angle between the line AV and
the plane ABCD.
(b) the angle between the planes ABV
and ABCD.
16cm
A
A
2) The diagram shows a cuboid. Find:
(a) the angle between line BH and plane ABFE
(b) the angle between planes ABGH and ABCD.
3) In the diagram, all the angles at C are
right angles, and ACB and ADB are
isosceles triangles. AC=BC=8cm, and
CD=5cm. Find the angle between planes
ABC and ADC.
Three Dimensional Trigonometry
D
V
G
H
10cm
6cm
C
C
D
F
B
8cm
C
12cm
B
A
E
D
5cm
8cm
12cm
B
1) ABCDV is a square-based pyramid.
AB=12cm and DV=10cm. Find:
(a) the angle between the line AV and
the plane ABCD.
(b) the angle between the planes ABV
and ABCD.
16cm
A
A
2) The diagram shows a cuboid. Find:
(a) the angle between line BH and plane ABFE
(b) the angle between planes ABGH and ABCD.
3) In the diagram, all the angles at C are
right angles, and ACB and ADB are
isosceles triangles. AC=BC=8cm, and
CD=5cm. Find the angle between planes
ABC and ADC.
Three Dimensional Trigonometry
D
V
G
H
10cm
6cm
C
C
D
F
12cm
B
A
E
D
5cm
B
8cm
C
8cm
12cm
1) ABCDV is a square-based pyramid.
AB=12cm and DV=10cm. Find:
(a) the angle between the line AV and
the plane ABCD.
(b) the angle between the planes ABV
and ABCD.
B
16cm
A
2) The diagram shows a cuboid. Find:
(a) the angle between line BH and plane ABFE
(b) the angle between planes ABGH and ABCD.
A
3) In the diagram, all the angles at C are
right angles, and ACB and ADB are
isosceles triangles. AC=BC=8cm, and
CD=5cm. Find the angle between planes
ABC and ADC.
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