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

Question

asked Feb 22, 2023 205k views

2 Answers

Ach · Answer 1 · 2023-02-28T20:55:05+0000

Answer:

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

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)