By using trigonometric relations, we will see that:
x = √3
How to find the value of x?
In the image, we can see a right triangle, where the hypotenuse measures √6, and the two legs have the same measure.
Then this is a 45°, 45°, 90° right triangle.
Then we can use the relation:
cos(a) = (adjacent cathetus)/(hypotenuse).
Where a = 45°, adjacent cathetus = x, hypotenuse = √6
Replacing that, we get:
cos(45°) = x/√6
Remember that cos(45°) = 1/√2
Replacing that we get:
1/√2= x/√6
√6/√2 = x
√(6/2) = x
√3 = x
If you want to learn more about right triangles:
https://brainly.com/question/2217700
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