Question

incorrect
your answer is incorrect.
find tanθ, where θ is the angle shown.
give an exact value, not a decimal approximation.
try again

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 given right - triangle and angle $\theta$, the side opposite to $\theta$ has length $\sqrt{9^{2}-8^{2}}=\sqrt{81 - 64}=\sqrt{17}$, and the side adjacent to $\theta$ has length 8.
So, $\tan\theta=\frac{\sqrt{17}}{8}$.

Answer:

$\frac{\sqrt{17}}{8}$