Respuesta :

EXPLANATION

Given the right triangle, we know by the Pythagoras Theorem that the following relationship applies:

Tg α= opposite cathetus/adjacent cathetus

Isolating the Opposite Cathetus:

[tex]AdjacentCathetus\cdot\tan \alpha=\text{Opposite Cathetus}[/tex]

Replacing terms:

[tex]16\cdot\tan 10=x[/tex]

Switching sides:

[tex]x=16\cdot\tan 10[/tex]

Simplifying:

[tex]x=2.82[/tex]

The answer is 2.82 units