tanX is 12/5.
Given:
In a right triangle,
The length of the side XY = 13.
The length of the side YZ = 12.
The length of the side XZ= 5.
The objective is to find tan X.
In a right angled triangle the largest side is always hypotenuse.
Sinec tan X is required to solve, then, the side YZ is opposite side and the side XZ is adjacent side.
By the trigonometric ratios, the value of tan X can be calculated as,
[tex]\begin{gathered} \tan X=\frac{opposite}{adjacent} \\ =\frac{YZ}{XZ} \\ =\frac{12}{5} \end{gathered}[/tex]Hence, the value of tanX is 12/5.
