Answer:
AB = 185.77 feet
Step-by-step explanation:
From the figure attached, in ΔABC,
m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet
We have to find the measure of side AB.
Since ∠A + ∠B + ∠C = 180°
∠A + 103.2 + 14.4 = 180
∠A + 117.6 = 180
∠A = 180 - 117.6
= 62.4°
By applying sine rule in the given triangle ABC
[tex]\frac{AB}{sinC}=\frac{BC}{sinA}[/tex]
[tex]\frac{AB}{sin14.4}=\frac{661}{sin62.4}[/tex]
[tex]\frac{AB}{0.249}=\frac{661}{0.886}[/tex]
AB = [tex]\frac{0.249\times661}{0.886}[/tex]
= 185.77 feet
Therefore, AB = 185.77 feet will be the answer.
