The length of BC is 2.30
Explanation:
It is given that AB = 3 and ∠A = 50°
To find the length of BC, let us use the sine formula.
The formula is given by
[tex]\sin \theta=\frac{o p p}{h y p}[/tex]
where [tex]\theta=50^{\circ}[/tex], opp = BC and hyp = AB
Thus, substituting these in the formula, we get,
[tex]\sin 50=\frac{B C}{A B}[/tex]
From the diagram, the value of AB is 3.
Substituting the value and simplifying the expression, we have,
[tex]0.7660=\frac{B C}{3}[/tex]
Multiplying both sides by 3, we get,
[tex]2.298={B C}[/tex]
Rounding the answer to the nearest hundredth, we have,
[tex]BC=2.30[/tex]
Thus, the length of BC is 2.30
