Find tan B and write as a simplified fraction.

This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)
Expert Answers
flbyrne eNotes educator| Certified Educator

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.

baxthum8 eNotes educator| Certified Educator

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` .

Further Reading: