Answer:
Therefore the missing length is AC = 24.46 units
Step-by-step explanation:
Consider a Δ ABC with
∠ B = 43°
AB = c = 18
BC = a = 8
To Find:
AC = c = ?
Solution:
We know in a Triangle Cosine Rule Says that,
[tex]b^{2} =c^{2}+ a^{2}-2\times a\times c\times \cos B[/tex]
Substituting the given values in above formula we get
[tex]b^{2} =18^{2}+ 8^{2}-2\times 8\times 18\times \cos 43\\\\b^{2} =324+64+288\times 0.7313\\\\b^{2} =598.6144\\\\Squaare\ Rooting\\\therefore b = 24.46\ units[/tex]
Therefore the missing length is AC = 24.46 units
