With reference to the figure, sin x =

From the figure,

The length of BC = 17.89 unit and the length of DC =16 unit.

Now, find the angle y by using cosine function;

Cosine defines as the ratio of the adjacent side of a right triangle to the hypotenuse  

i.e  

from the triangle BDC;

Hypotenuse = BC =17.89 unit and Adjacent side = 16 units

then;

or

= (nearest to hundredths place)

Now, find the value of angle x;

In right angle ΔABC;

The sum of measures of the three angles in triangle ABC is 180 degrees.

                   ....[1]

from the given figure, , and

Substitute these in [1] to solve for  angle x;

or

or

Simplify:

We have to find the value of sin x;

then;

The value of .