Verified Answer :

dexteright02

Data:
Hypotenuse is 7.5 
Opposite of angle x is 6

Cosine = Side opposite (S.O) the angle on the hypotenuse (h)

We have:

\(Cos (\alpha)x = \frac{S.O}{h}\)
\(Cos (\alpha)x = \frac{6}{7.5}\)
\(\boxed{Cos (\alpha)x = 0.8}\)

For better understanding, see the annex:

View image dexteright02

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