Question

Please Help! Will Mark Brainliest

Answer 1

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio on right triangle KJL

and the exact value sin30° = $\frac{1}{2}$

sin30° = $\frac{opposite}{hypotenuse}$ = $\frac{JL}{KL}$ = $\frac{JL}{8\sqrt{2} }$ = $\frac{1}{2}$ ( cross- multiply )

2JL = 8$\sqrt{2}$ ( divide both sides by 2 )

JL = 4$\sqrt{2}$

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Using the sine ratio in right triangle JLM

and the exact value sin45° = $\frac{1}{\sqrt{2} }$

sin45° = $\frac{opposite}{hypotenude}$ = $\frac{LM}{JL}$ = $\frac{x}{4\sqrt{2} }$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

x × $\sqrt{2}$ = 4$\sqrt{2}$ ( divide both sides by $\sqrt{2}$

x = 4