Answer:
See below.
Step-by-step explanation:
First look at image attached
From the information given, we can solve this using the Sine Rule:
The sine rule states that:
sin
A
a
=
sin
B
b
=
sin
C
c
Finding angle C. Since we know angle A and side a, we will use:
sin
A
a
=
sin
C
c
sin
(
70
o
)
25
=
sin
C
26
⇒
sin
C
=
26
sin
(
70
o
)
25
=
0.9778
C
=
sin
−
1
(
sin
C
)
=
sin
−
1
(
0.9778
)
=
77.76
o
Angle
B
=
180
o
−
(
70
o
+
77.76
o
)
=
32.24
o
Side b:
sin
(
70
o
)
25
=
sin
(
32.24
o
)
b
⇒
b
=
25
sin
(
32.24
o
)
sin
(
70
o
)
=
14.19
So the solution is:
A
=
70
o
B
=
32.24
o
C
=
77.76
o
a
=
25
b
=
14.19
c
=
26