Download Trigonometry - Questions File

AQA Level 2 Further mathematics Geometry I
Section 2: Trigonometry
Exercise
1. Find the sides and angles marked with letters in the triangles below.
(i)
(ii)
(iii)
(iv)
9
y
q
32°
11
x
8
5
6
50°
p
7
2. The diagram below shows a cuboid ABCDEFGH, with dimensions 10 cm, 7 cm
and 5 cm as shown.
H
G
E
F
D
A
(i)
(ii)
(iii)
(iv)
(v)
5 cm
C
7 cm
10 cm
B
Find the lengths of AC and AG.
Find the angle between AG and the plane ABCD.
Find the angle between BH and the plane ADHE.
Find the angle between the plane BCHE and the plane ABCD.
Find the angle between the plane BDG and the plane ABCD.
3. A regular tetrahedron ABCD has edges of length 6 cm.
A
D
B
C
(i) Find the height of the vertex A above the base BCD.
(ii) Find the angle between the line AB and the plane BCD.
(iii) Find the angle between the plane ABC and the plane BCD.
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11/06/13 © MEI
AQA FM Geometry I 2 Exercise
4. The diagram shows a cuboid.
AB = 8 cm. BC = 4cm. AG = 12 cm.
Not accurately drawn
Calculate the volume of the cuboid.
5. Do not use a calculator for this question
ABC is an equilateral triangle with side 2 cm.
D is the midpoint of AB. E is the midpoint of CD.
Decide whether EAD is smaller than, bigger than or equal to 45. You must
explain your reasoning clearly.
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11/06/13 © MEI