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16. If we wish to use Eq. 35 in an unmodified fashion, we should note that the angle
between
G
C
and the +
x
axis is 180° + 20.0° = 200°.
(a) The
x
and
y
components of
G
B
are given by
B
x
= C
x
–
A
x
= (15.0 m) cos 200° – (12.0 m) cos 40° = –23.3 m,
B
y
=C
y
–
A
y
= (15.0 m) sin 200° – (12.0 m) sin 40° = –12.8 m.
Consequently, its magnitude is 

B
=
G
22
( 23.3 m)
( 12.8 m)
26.6 m
−+
−=
.
(b) The two possibilities presented by a simple calculation for the angle between
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 Spring '08
 Any
 Physics

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