Question

Triangle xyz has sides xy = 3", yz = 4", and xz = 5". if angle y is a right angle, and side yz is opposite angle x, what is the tan of angle x?

Answer 1

Tan x = 4/3 will be the answer..

Answer 2

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 $\frac{4}{3}$.