To solve this problem we will use the following diagram as a reference:
To determine x ( the distance between the ground and the kite), we use the trigonometric function sine:
[tex]sin46^{\circ}=\frac{x}{80ft}.[/tex]Solving the above equation for x, we get:
[tex]x=sin46^{\circ}*80ft.[/tex]Finally, we get:
[tex]x\approx58ft.[/tex]