ANSWER:
40.78 feet
STEP-BY-STEP EXPLANATION:
We make a sketch of the situation of the statement in order to better understand the question.
We can determine the requested distance that is x, using the trigonometric function sine, which relates the opposite side to the hypotenuse of the triangle, like this:
[tex]\begin{gathered} \sin \theta=\frac{\text{ opposite}}{\text{ hypotenuse}} \\ \text{opposite = 39} \\ \theta=73\text{\degree} \\ \text{ hypotenuse = x} \\ \text{ replacing} \\ \sin 73=\frac{39}{x} \\ x=\frac{39}{\sin 73} \\ x=40.78\text{ ft} \end{gathered}[/tex]The amount of string is 40.78 feet
