Question

score: 6/10 current time: 100.9
find: tan b
the figure is not drawn to scale
answer
\\( \frac { 20 } { 48 } \\)
\\( \frac { 48 } { 20 } \\)
\\( \frac { 48 } { 52 } \\)
\\( \frac { 20 } { 52 } \\)

Explanation:

Step1: Recall the tangent formula

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$. For angle $B$, the opposite side is the side that is not adjacent to angle $B$ and the adjacent side is the non - hypotenuse side next to angle $B$.

Step2: Identify the opposite and adjacent sides for angle $B$

For angle $B$, the opposite side length is $48$ and the adjacent side length is $20$.

Step3: Calculate $\tan B$

Using the formula $\tan B=\frac{\text{opposite}}{\text{adjacent}}$, we substitute the values: $\tan B = \frac{48}{20}$.

Answer:

$\frac{48}{20}$