Question

find: \\( \tan b \\)
answer
\\( \frac { 20 } { 52 } \\)
\\( \frac { 48 } { 20 } \\)
\\( \frac { 20 } { 48 } \\)
\\( \frac { 48 } { 52 } \\)

Explanation:

Step1: Recall the tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $B$, the side opposite to angle $B$ is $48$ and the side adjacent to angle $B$ is $20$.

Step2: Calculate $\tan B$

$\tan B=\frac{\text{opposite to }B}{\text{adjacent to }B}=\frac{48}{20}$.

Answer:

$\frac{48}{20}$