Find tan B and write as a simplified fraction.
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.
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` .