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find: \\(\\tan a\\) *the figure is not drawn to scale* answer \\(\\frac…

Question

find: \\(\tan a\\) the figure is not drawn to scale answer \\(\frac{20}{52}\\) \\(\frac{48}{20}\\) \\(\frac{48}{52}\\) \\(\frac{20}{48}\\)

Explanation:

Step1: Recall tangent definition

For acute angle $A$ in a right triangle, $\tan A = \frac{\text{opposite side}}{\text{adjacent side}}$

Step2: Identify sides for $\tan A$

Opposite side to $A$ is $48$, adjacent side is $20$.
<Expression>
$\tan A = \frac{48}{20}$
</Expression>

Answer:

$\frac{48}{20}$ (matches option B. $\frac{48}{20}$)