Find tanθ, where θ is the angle shown.Give an exact value, not a decimal approximation.tanθ=

Solution
For this case we can find the lenght of the remaining side like this:
[tex]x=\sqrt[]{9^2-4^2}=\sqrt[]{81-16}=\sqrt[]{65}[/tex]And we can find tan on this way:
[tex]\tan \theta=\frac{4}{\sqrt[]{65}}=\frac{4\sqrt[]{65}}{65}[/tex]