Question

what is the value of tan a? 6 cm 8 cm 10 cm 6/10 or 3/5 6/8 or 3/4 8/10 or 4/5

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For \(\angle A\), the side opposite to \(\angle A\) is \(BC = 6\mathrm{cm}\), and the side adjacent to \(\angle A\) is \(AC=8\mathrm{cm}\).

Step2: Calculate \(\tan A\)

Using the formula \(\tan A=\frac{BC}{AC}\), substitute \(BC = 6\) and \(AC = 8\). So, \(\tan A=\frac{6}{8}\), and simplifying \(\frac{6}{8}\) by dividing both the numerator and denominator by 2 gives \(\frac{3}{4}\).

Answer:

\(6/8\) or \(3/4\)