Answer:
120.9 ft
Step-by-step explanation:
You can use:
[tex]sinx = opp/hyp[/tex]
the hypotenuse is the length of the string, and you ahve the angle (55 degrees) and you have the side opposite of the angle, so:
[tex]sin55 = 99 ft/hyp\\hyp = 99ft/sin55\\hyp = 120.9[/tex]