Answer:
4 units
Explanation:
Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA
Line LJ is the opposite side while LK is the hypotenuse side. Hence,
Sin 30 = LJ/8√2
LJ = 8√2 × 1/2
= 4√2
Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.
Sin 45 = x/4√2
x = 4√2 × 1/√2
x = 4