Answer:
x = 63.28°
Step-by-step explanation:
A = 33°
a = 175 mm
C = x
c = 287 mm
Use the Law of Sines to find x
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Plug in the values
[tex] \frac{175}{sin(33)} = \frac{287}{sin(x)} [/tex]
Cross multiply
[tex] 175*sin(x) = 287*sin(33) [/tex]
Divide both sides by 175
[tex] sin(x) = \frac{287*sin(33)}{175} [/tex]
[tex] sin(x) = 0.893208017 [/tex]
[tex] x = sin^{-1}(0.893208017) [/tex]
x = 63.28° (2 decimal places)
