Respuesta :

Answer:

  • a) sine
  • b) 9.8 ft

Step-by-step 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