Question

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

Step1: Use tangent function

In right - triangle \(ABC\) with right - angle at \(C\), \(\tan A=\frac{BC}{AC}\). Here, \(A = 65^{\circ}\) and \(BC = 2\). So, \(\tan65^{\circ}=\frac{2}{AC}\).

Step2: Solve for \(AC\)

We know that \(\tan65^{\circ}\approx2.1445\). Then, \(AC=\frac{2}{\tan65^{\circ}}\).

Step3: Calculate the value

\(AC=\frac{2}{2.1445}\approx0.93\)

Answer:

\(0.93\)