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Explanation:
For RIGHT triangles , cosΦ = adjacent leg / hypotenuse
for this one cos 60 = x/ sqrt(8)
re-arrange to sqrt 8 cos 60 = x
sqrt 8 * 1/2 = x
sqrt (2 *4) * 1/2 = x
2 sqrt 2 * 1/2 = x
sqrt 2 = x