Trigonometry Homework – Answers
1)
(a)
(b)
(c)
R
C
Z
7.8cm
2.6cm
43°
B
A
5.7cm
Q
P
5.7
=tan R
2.6
5.7
R=tan −1
2.6
=65.5 ˚
AC
=sin 43 °
7.8
AC=7.8sin 43°
=5.32 cm
 
2)
C
5m
AC
=sin 65 °
5
AC =5sin 65 °
=4.53m
65°
B
3) A
A
40km
40
=tan C
70
B
C=tan −1
70km
C
 4070 
=29.7 ˚
Bearing=360−29.7=330.3˚
Distance: CA 2=402702
=6500
CA= 6500
=80.6 km
X
37°
10cm
10
=cos 37 °
XZ
10=XZ ×cos 37 °
10
= XZ
cos 37 °
XZ =12.5 cm
Y