Question

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

Answer 1

For this case we can find the lenght of the remaining side like this:

`x=\sqrt[]{9^2-4^2}=\sqrt[]{81-16}=\sqrt[]{65}`

And we can find tan on this way:

`\tan \theta=\frac{4}{\sqrt[]{65}}=\frac{4\sqrt[]{65}}{65}`