With reference to the figure, sin x =

0.894

Step-by-step explanation:

Data provided in the question

BC length = 17.89 unit

DC length = 16 unit.

Now, we have to compute the angle y with the help of the cosine function;

Cosine defines the ratio between the right angle adjacent side and the hypotenuse  

As per the triangle BDC;

Hypotenuse = BC =17.89 unit

And, the Adjacent side = 16 units

So;

Now, determine the value of angle x

In right angle ΔABC;

As we know that

The three angles sum is 180 degrees

So,

According to the given figure

and

Now Substitute these in (1) for solving the angle x;

or

or

Finally we have to determine the value of sin x;

Hence,

The value of

or

= 0.894

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7