Find tan B and write as a simplified fraction.

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flbyrne | (Level 3) Assistant Educator

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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.

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