Question

express tan k as a fraction in simplest terms.

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attempt 1 out of 2

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Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle K\), the side opposite to \(\angle K\) is \(IJ = 8\), and the side adjacent to \(\angle K\) is \(JK=\sqrt{23}\).

Step2: Apply the formula

\(\tan K=\frac{IJ}{JK}\)

Answer:

\(\frac{8}{\sqrt{23}}=\frac{8\sqrt{23}}{23}\)