Questions: What is tan(B)?

Transcript text: What is $\tan (\mathrm{B})$ ?

Solution

Step 1: Recall the definition of tangent

The tangent of an angle in a right triangle is defined as the ratio of the side opposite the angle to the side adjacent to the angle.

Step 2: Identify the sides

In the given right triangle, the side opposite to angle B is 5, and the side adjacent to angle B is 12.

Step 3: Calculate the tangent

So, $\tan(B) = \frac{\text{opposite}}{\text{adjacent}} = \frac{5}{12}$.

$\boxed{\tan(B) = \frac{5}{12}}$

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