Answer:
Explanation:
The mnemonic SOH CAH TOA helps you remember the definitions of the trig functions. In particular, the function that involves the Opposite side and the Hypotenuse is the Sine function:
... Sin = Opposite/Hypotenuse
In this problem that means ...
... sin(55°) = x/(12 ft)
Multiplying by 12 ft, we have ...
... (12 ft)·sin(55°) = x ≈ 9.82982 ft ≈ 9.8 ft