Question

In ΔXYZ, the measure of ∠Z=90°, ZY = 4, XZ = 3, and YX = 5. What ratio represents the tangent of ∠X?

Answer 1

4/3

Explanation:

Answer 2

`tan\ X= (4)/(3)`

Explanation:

Given

`Z=90\°`

`ZY = 4`

`XZ = 3`

`YX = 5`

Required

Determine tan x

This question can be illustrated using the attached image

Tan of an angle is calculated as:

`tan \theta = (Opposite)/(Adjacent)`

In this case, it is:

`tan\ X= (ZY)/(XZ)`

Substitute values for ZY and XZ

`tan\ X= (4)/(3)`

Hence, the required ratio is 4/3