Transcript Right-Angled Trigonometry

Right-Angled Trigonometry
Involving 3D
Example
The cuboid below has length AB = 4cm, DE = 6cm and AF = 12cm.
Work out the lengths of the diagonals (i) AE
(ii) BH (iii) EH
D
C
G
H
E
F
B
A
Example
The figure is a pyramid on a square base
ABCD. The edges of the base are 30cm long
and the height, EH, of the pyramid is 42cm.
Find
E
a) the length of AC
b) the angle EAH
A
D
H
B
C
Example
ABCDEF is a prism with a triangular crosssection. , BC = 8m, AB = 6m and CD = 20m.
E
A
B
F
C
Find
(i) AC
(ii) BD
D
(iii) the total
surface area
of the prism.