find tanθ, where θ is the angle shown. give an exact value, not a decimal approximation.
find tanθ, where θ is the angle shown. give an exact value, not a decimal approximation.
Answer
Explanation:
Step1: Recall tangent - ratio formula
In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$.
Step2: Identify opposite and adjacent sides
For the angle $\theta$ in the given right - triangle, the side opposite to $\theta$ has length 9 and the side adjacent to $\theta$ has length 8.
Step3: Calculate $\tan\theta$
$\tan\theta=\frac{9}{8}$
Answer:
$\frac{9}{8}$