Answer:
x = 77.56 cm
y = 69.71 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
so ...
... cos(64°) = (34 cm)/x
... x = (34 cm)/cos(64°) ≈ 77.56 cm
___
It also reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(64°) = y/(34 cm)
... (34 cm)·tan(64°) = y ≈ 69.71 cm
