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What is the value of x?


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The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.

What is the value of x Enter your answer in the box x The figure shows 2 right triangles triangle A B C with right angle B and triangle B D C with right angle D class=

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palium
First of all, let’s find CB.
sin(45°) = CB : 6sqrt(2)
CB = 6
Now we can find CD
cos(60°) = x : 6
x = 3

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