Question

find: tan b
the figure is not drawn to scale

Explanation:

Step1: Recall the tangent ratio formula

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). For angle \(B\), the side opposite to \(B\) is \(40\) and the side adjacent to \(B\) is \(75\).

Step2: Calculate \(\tan B\)

Using the formula \(\tan B=\frac{\text{opposite}}{\text{adjacent}}\), we substitute the values. So, \(\tan B = \frac{40}{75}\)

Answer:

\(\frac{40}{75}\)