Question

angle k in \\( \triangle m k l \\) is a right angle. what is the value of \\( \tan m \\)? \\( \frac{8}{15} \\) \\( \frac{15}{8} \\) \\( \frac{15}{17} \\) \\( \frac{8}{17} \\)

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle M\) in right - triangle \(MKL\) with \(\angle K = 90^{\circ}\), the side opposite to \(\angle M\) is \(KL\) and the side adjacent to \(\angle M\) is \(KM\).

Step2: Substitute the values

We know that \(KL = 15\) and \(KM=8\). Then \(\tan M=\frac{KL}{KM}\).

Answer:

\(\frac{15}{8}\)