Question

What is the length of CD

Answer 1

8

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:

`SinA=(Opposite)/(Hypotenuse)\\0.4=(BD)/(10)\\BD=0.4*10=4`

We got BD = 4

Also sin C is given as 0.5

Looking at Triangle DCB, we can write:

`SinC=(BD)/(DC)\\0.5=(4)/(DC)\\DC=(4)/(0.5)\\DC=8`

So, length of CD is 8