Answer:
[tex]tan\ X= \frac{4}{3}[/tex]
Step-by-step explanation:
Given
[tex]Z=90\°[/tex]
[tex]ZY = 4[/tex]
[tex]XZ = 3[/tex]
[tex]YX = 5[/tex]
Required
Determine tan x
This question can be illustrated using the attached image
Tan of an angle is calculated as:
[tex]tan \theta = \frac{Opposite}{Adjacent}[/tex]
In this case, it is:
[tex]tan\ X= \frac{ZY}{XZ}[/tex]
Substitute values for ZY and XZ
[tex]tan\ X= \frac{4}{3}[/tex]
Hence, the required ratio is 4/3
