Question

What is the value of x?

Answer 1

`\sin 30^(\circ) = (LJ)/(8\sqrt 2)\\\\\implies LJ = 8\sqrt 2 \sin 30^(\circ) =8\sqrt 2 \cdot \frac 12 = 4\sqrt 2\\\\ \text{Now,}\\\sin 45^(\circ) = (LM)/(LJ) \\\\\implies LM = \sin 45^(\circ) LJ\\\\\implies x = \frac 1{\sqrt 2} \cdot 4\sqrt 2 = 4 ~~ units.`

Answer 2

x = 4

Step-by-step explanation:

`\sf sin(x)= (opposite)/(hypotensue)`

Solve for LJ:

`\hookrightarrow \sf sin(30) = (LJ)/(8√(2) )`

`\hookrightarrow \sf sin(30)*8√(2) ={LJ}`

`\hookrightarrow \sf {LJ} = 4√(2)`

Solve for LM:

`\hookrightarrow \sf \sf sin(45)= (LM)/(4√(2) )`

`\hookrightarrow \sf \sf sin(45)*4√(2) = {LM}`

`\hookrightarrow \sf {LM} = 4`