Answer:
x ≈ 1.1
Explanation:
The hypotenuse and the side adjacent to the angle are marked, so the relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(41°) = 0.8/x . . . . . . given values filled into the relation
x = 0.8/cos(41°) . . . . . solve for x
x ≈ 1.0600104 ≈ 1.1 . . . . rounded to tenths
x = 1.1
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Additional comment
This cosine relation is one of three relations covered by the mnemonic SOH CAH TOA. It also reminds you ...
Sin = Opposite/Hypotenuse
Tan = Opposite/Adjacent