Answer:
172.27 in
Step-by-step explanation:
Apply the Sine Rule
Sine Rule is given as:
[tex] \frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)} [/tex]
c = x = ?
C = 180 - (52 + 48) = 80° (sum of triangle)
b = 130 in.
B = 48°
Plug in the values
[tex] \frac{130}{sin(48)} = \frac{x}{sin(80)} [/tex]
Multiply both sides by sin(80)
[tex] \frac{130*sin(80)}{sin(48)} = x [/tex]
172.274641 = x
x = 172.27 in. (to 2 decimal places)
