Question

ab =
round your answer to the nearest hundredth.
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Explanation:

Step1: Identify trigonometric relation

In right - triangle \(ABC\) with right - angle at \(C\), \(\sin A=\frac{BC}{AB}\). Given \(BC = 2\) and \(A = 25^{\circ}\), we have \(\sin25^{\circ}=\frac{2}{AB}\).

Step2: Solve for \(AB\)

We can rewrite the equation as \(AB=\frac{2}{\sin25^{\circ}}\). Since \(\sin25^{\circ}\approx0.4226\), then \(AB=\frac{2}{0.4226}\approx4.73\).

Answer:

\(4.73\)