Question

question 10 (fill - the - blank worth 1 points) (05.02 lc) find the tangent ratio of angle θ. clue: use the slash symbol (/) to represent the fraction bar, and enter the fraction with no spaces.

Explanation:

Step1: Recall tangent - ratio formula

The tangent of an angle $\theta$ in a right - triangle is defined as $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.

Step2: Identify opposite and adjacent sides

For angle $\theta$ in right - triangle $ABC$, the side opposite to $\theta$ is $AB = 12$ and the side adjacent to $\theta$ is $AC = 5$.

Step3: Calculate the tangent ratio

$\tan\theta=\frac{12}{5}$

Answer:

$\frac{12}{5}$