Question

Find the missing side or angle.

Round to the nearest tenth.
B=18°
C=152°
b=4
c=[ ? ]

Answer 1

c = 6.1

Explanation:

Given that: B = 18° , C = 152°, and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

`(b)/(Sin B)` =
`(c)/(Sin C)`

`(4)/(Sin 18^(o) )` =
`(c)/(Sin 152^(o) )`

c =
`(4* Sin 152^(o) )/(Sin 18^(o) )`

=
`(1.8779)/(0.3090)`

= 6.0773

c = 6.1

Therefore, the value of the missing side, c, is 6.1