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

`\text{tan}(x)=(4)/(3)`

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)=(yz)/(xy)`

`\text{tan}(x)=(4)/(3)`

Therefore, tan of angle x is
`(4)/(3)`.