Question

What is the value of x?


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x =

Answer 1

x = 4

Explanation:

Let's find the length of JL as a first step. Knowing the result, we can easily find x.

|JL| 1

sin 30 degrees = ----------------- = --------

8√2 2

Then 2 |JL| = 8√2, or |JL| = 4√2

Next, find x: sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],

1

x / [4√2] = -------- which results in x = 4

√2