Question

find: tan b
the figure is not drawn to scale.
answer
\\(\frac{52}{39}\\)
\\(\frac{39}{52}\\)
\\(\frac{52}{65}\\)
\\(\frac{39}{65}\\)

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 $52$, adjacent side is $39$.

Step3: Calculate $\tan B$

$\tan B = \frac{52}{39}$.

Answer:

$\frac{52}{39}$ (corresponding to the first option, e.g., A. $\frac{52}{39}$ if options are labeled A, B, etc.)