What is the value of x?
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X =
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Answer:
x = 3
Step-by-step explanation:
ok then, firstly, lets make line CB into y
sin45 / y = sin 90 / 6[tex]\sqrt{2}[/tex]
in other words, as sin 90 = 1
y / sin45 = 6[tex]\sqrt{2}[/tex]
y = sin 45 * 6[tex]\sqrt{2}[/tex] = 6 as sin 45 = root2/2, and root2 * root 2 = 2, so
6*2/2 = 6
we also know BCD is 30*, as angles in a tri add up to 180*
so, x/sin30 = 6/sin90 = 6
x/sin30 = 6
6*sin30 = x
x = 3 as sin 30 = 1/2