Answer:
The value of x is 2√2
Step-by-step explanation:
Use trig (specifically, the sine function) to find the length of JL:
Since sin Ф = opp / hyp, opp = hyp·sin Ф.
Here, opp is the length of JL and is found as follows:
|JL| = 8√2·sin 30° = 8√2·(1/2) = 4√2
Note that this 4√2 is the length of the hypotenuse of the smaller triangle.
Applying the definition of the sine function again:
x = hyp· sin Ф, and with hyp = 4√2 and Ф = 45°, we have:
x = (4√2)(1/2) = 2√2
The value of x is 2√2
