Question

Find the tangent of angle Θ in the triangle below.

Answer 1

Answer: $\frac{\sqrt{65}}{4}$

Step-by-step explanation:

By the Pythagorean theorem, the unknown side has length

$\sqrt{9^{2}-4^{2}}=\sqrt{65}$

Therefore,

$\tan \theta=\boxed{\frac{\sqrt{65}}{4}}$