Using sine, cosine and tangent in right-angled triangles
Find the missing length or angle in each of the following triangles:
(a)
(b)
(c)
x
a°
9cm
40m
91mm
14°
x°
4·8cm
87mm
(d)
(e)
(f)
7m
5·8cm
x°
62°
11·1m
10m
t
y°
(g)
4·2cm
(h)
(i)
61°
46°
x
18·2m
m°
105mm
5·6cm
y
15·1m
(j)
(k)
55mm
w
(l)
16cm
28°
y°
13·7m
5°
z
(m)
(n)
x
53°
p
(o)
1cm
28·6cm
28mm
j°
30·5°
60mm
5·6m
(p)
(q)
(r)
58km
s
96mm
k°
74·6°
64mm
22km
5·7m
x°
(s)
(t)
(u)
26·8mm
u°
x
63mm
71cm
18°
14cm
(v)
(w)
8·6cm
a°
x°
60m
(x)
15mm
y
29·3cm
86°
3·5cm
14mm
(y)
x°
(z)
(aa)
72°
k
106km
(ab)
v
14°
b°
400m
176km
(ac)
25mm
(ad)
63·8m
c°
505cm
33·3cm
10·2cm
91·5m
s°
84·2°
x
(ae)
(af)
(ag)
100m
Isosceles
triangle
70°
x
a°
50mm
x°
4·1m
Rectangle
2·7m
10cm
7·2m