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38 Part I: Technical Mathematics
Angle X can be calculated via subtraction:
Part I.D
X = 180 YZ
X = 180 97. 90 29.
69
X = 52.
41
With all angles now known, the lengths of the sides y and z can be found using
the law of sines:
x y z
sin X sin Y sin Z
( ) = ( ) = ( )
8
y
sin ( 52. 41) = sin ( 97.
90)
8 y
=
0. 7924 0.
9905
y
10.
10 =
0.
9905
y
10. 10×
0.
9905
= × 09905 .
0.
9905
10 = y
8
( 52 41) = z
sin . sin ( 29. 69)
8 z
=
0. 7924 0.
4953
z
10.
10 =
0.
4953
z
10. 10× 0.
4953 = × 04953 .
0.
4953
5 = z