Question

find: tan b
answer
the figure is not drawn to scale

Explanation:

Step1: Recall the tangent formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For angle \(B\), the side opposite to \(B\) is \(56\) and the side adjacent to \(B\) is \(42\).

Step2: Calculate \(\tan B\)

Using the formula \(\tan B=\frac{\text{opposite}}{\text{adjacent}}\), we substitute the values: \(\tan B = \frac{56}{42}\)

Answer:

\(\frac{56}{42}\)