Question

find: tan b
the figure is not drawn to scale.
answer
\\(\frac{13}{84}\\)
\\(\frac{84}{85}\\)
\\(\frac{84}{13}\\)
\\(\frac{13}{85}\\)

Explanation:

Step1: Recall tangent definition

In a right triangle, $\tan\theta = \frac{\text{opposite}}{\text{adjacent}}$ to $\theta$.

Step2: Identify sides for $\angle B$

For $\angle B$, opposite side is $13$, adjacent side is $84$.

Step3: Calculate $\tan B$

$\tan B = \frac{\text{opposite to } B}{\text{adjacent to } B} = \frac{13}{84}$.

Answer:

$\frac{13}{84}$ (corresponding to the first option with $\frac{13}{84}$)