Answer:
8
Step-by-step explanation:
We know sin of an angle is "opposite" over "hypotenuse".
If we look at Triangle BAD, with respect to angle A, we can write:
[tex]SinA=\frac{Opposite}{Hypotenuse}\\0.4=\frac{BD}{10}\\BD=0.4*10=4[/tex]
We got BD = 4
Also sin C is given as 0.5
Looking at Triangle DCB, we can write:
[tex]SinC=\frac{BD}{DC}\\0.5=\frac{4}{DC}\\DC=\frac{4}{0.5}\\DC=8[/tex]
So, length of CD is 8
