Respuesta :

Given:

The figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

[tex]\tan \theta=\dfrac{Opposite}{Adjacent}[/tex]

Using this formula in the given triangle, we get

[tex]\tan (31^\circ)=\dfrac{x}{33}[/tex]

[tex]0.60086=\dfrac{x}{33}[/tex]

[tex]0.60086\times 33=x[/tex]

[tex]19.82838=x[/tex]

[tex]x\approx 19.83[/tex]

Therefore, the value of x is about 19.83 units.