Answer:
a = 29.3785
Step-by-step explanation:
Given ∠A = 46° and ∠B = 105°
we know that ∠A +∠B+∠C = 180°
46° + 105° +∠C = 180°
∠C = 180 - 46 -105
∠ C = 29°
By using sine rule
[tex]\frac{a}{sin A} = \frac{b}{Sin B} = \frac{c}{Sin C} = 2 R[/tex]
[tex]\frac{a}{sin A} = \frac{c}{Sin C}[/tex]
Given ∠A = 46° and ∠ C = 29° and c = 19.8
[tex]\frac{a}{sin 46} = \frac{19.8}{Sin 29}[/tex]
on cross multiplication , we get
[tex]a = \frac{19.8 X sin 46}{Sin 29}[/tex]
a = 29.3785
