What is the value of x? show step by step.

Start by using trig to find the length of the line LJ

The triangle KJL (big right angled triangle) has been given the following dimensions

Hypotenuse =
The adjacent angle is 30 degrees

Since we have the hypotenuse and the  angle we must use the equation 
opposite = Sin(angle) x Hypotenuse

Opposite= sin30 x

Opposite= 

Therefore line LJ is 

Now look at the smaller right angled triangle (LMJ) 

Hypotenuse is the line LJ which is 

The adjacent angle is 45

Since we have hypotenuse and angle we must use the equation opposite = sin(angle) * h

therefore 
x=  * sin45= 4

Ac equals 35 cm long