Answer:
[tex]a=5\frac{1}{3} \ units[/tex]
Step-by-step explanation:
In this problem we have to use the altitude theorem in a right triangle, because the segment in it, it's an altitude.
This theorem states that: [tex]h^{2}=pq[/tex]
Where [tex]h[/tex] is the altitude, [tex]p[/tex] one of the parts of the divided side by the altitude, and [tex]q[/tex] is the other part.
Applying this theorem, we have:
[tex]4^{2}=3a\\a=\frac{16}{3}\\ a=5\frac{1}{3} \ units[/tex]
Therefore, the right answer is the second option.
