THe tangent ratio is equal to the ratio of the opposite leg to the adjacent leg of the angle.

`tantheta = (opp)/(adj)`

Therefore, tan B = ratio of `36/15`

**The solution for `tan B = 12/5` .**

The tangent of an oblique angle in a right triangle is the ratio of the length of the opposite leg to the length of the adjacent leg.

tangent=opposite leg/adjacent leg

In this case, the leg opposite to B is 36 units long and the leg adjacent to B is 15 units long.

tan B= 36/15

Simplify the fraction by dividing the numerator and denominator by the common factor, which is 3.

tan B =12/5

**Therefore tan B = 12/5**.