Given the triangle find the length of side x using the Law

Given the triangle , find the length of side x using the Law of Sines. Round your final answer to 4 decimal places.

Solution

Sine rule is a/sinA = b/sinB = c/sinC

from figure

==> 28/sin13^o = x/sin43^o

==> x = 28(sin13^o)/sin43^o

==> x = 28(0.22495)/(0.681998)

==> x = 28(0.32984)

==> x = 9.2355

Hence length of side x = 9.2355 units.