Answer:
132.4 feet
Step-by-step explanation:
This is a classic right triangle trig problem. We have the reference angle of 44, and we have the side length that is opposite the reference angle as 92, now we need the length of the string which is the hypotenuse. The trig ratio that relates the side opposite the reference angle to the hypotenuse is the sin ratio. Let's set it up:
[tex]sin(44)=\frac{92}{x}[/tex]
Doing some algebraic manipulations with that gives us
[tex]x=\frac{92}{sin(44)}[/tex]
Plug that into your calculator in degree mode and you get x = 132.4392
