Question

Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answer 1

generally, tanA=opposite/adjacent

answer:tanC=36/15=12/5

Answer 2

`Tan \space\ \theta =\frac{\boxed{12}}{\boxed5}}`

Explanation:

The tangent (Tan) of an angle is the ratio of the opposite side and the adjacent side, so that:

`\boxed{Tan\space\ \theta = (opposite)/(adjacent)}`.

In this case, with respect to angle C:

• opposite = AB = 36 units

• adjacent = CB = 15 units.

Substituting the values into the equation:

`Tan \space\ C = (36)/(15)`

=
`\bf (12)/(5)` (simplified)