Question

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

Answer 1

4

Explanation:

did it rn

Answer 2

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 =
`8 √(2)`
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
`8 √(2)`

Opposite=
`4 √(2)`

Therefore line LJ is
`4 √(2)`


Now look at the smaller right angled triangle (LMJ)

Hypotenuse is the line LJ which is
`4 √(2)`

The adjacent angle is 45

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

therefore
x=
`4 √(2)` * sin45= 4