Answer:
\(\text{tan}(x)=\frac{4}{3}\)
Step-by-step explanation:
Please find the attachment.
We have been given that triangle xyz has sides xy = 3", yz = 4", and xz = 5". The angle y is a right angle and side yz is opposite angle x. We are asked to find the \(\text{tan}(x)\).
We know that tangent represents relation between opposite and adjacent side of right triangle.
We can see that adjacent side of our given triangle is xy, so we will get:
\(\text{tan}(x)=\frac{yz}{xy}\)
\(\text{tan}(x)=\frac{4}{3}\)
Therefore, tan of angle x is \(\frac{4}{3}\).
