Answer
The length of the side represented by \[c\] is \[85\text{ cm}\].
Work Step by Step
Compute the length of the side represented by \[c\] using the trigonometric function of Sine as follows:
\[\begin{align}
& \text{Sine }A=\frac{\text{Opposite side of angle }A}{\text{Hypotenuse}} \\
& =\frac{BC}{AB} \\
& \text{Sine 28}{}^\circ =\frac{40\text{ cm}}{c}
\end{align}\]
On cross multiplying both sides, we get
\[\begin{align}
& c=\frac{40}{\text{Sine 28}{}^\circ } \\
& c=\frac{40\text{ cm}}{0.469} \\
& =85\text{ cm}
\end{align}\]
