How do I calculate the length of the lettered sides in a triangle?

Given:
There are given that the right angle triangle:
Explanation:
To find the value of h, we need to redraw the image:
So,
Now,
From the given triangle:
We need to find the value of h.
So,
To find the value of h, we need to use the sin formula:
So,
[tex]sin(43.90^{\circ})=\frac{h}{6}[/tex]Then,
[tex]\begin{gathered} s\imaginaryI n(43.90^{\operatorname{\circ}})=\frac{h}{6} \\ 0.69=\frac{h}{6} \\ h=6\times0.69 \\ h=4.14 \end{gathered}[/tex]Final answer:
Hence, the value of h is 4.14.