The Answer of The Question Is 112.2 Feet
The Explanation :
We can use trigonometry to solve this problem. Let's denote the length of the string as x.
From the diagram, we can see that the opposite side of the triangle is the height of the kite above the ground, which is 86 ft. The angle of elevation is the angle between the hypotenuse (the string) and the horizontal.
Using the definition of the tangent function, we can write:
tan(56°) = opposite / adjacent
where the opposite side is 86 ft and the adjacent side is x. Solving for x, we get:
x = opposite / tan(56°) = 86 / tan(56°) ≈ 112.2 ft
Therefore, the length of the string is approximately 112.2 ft when rounded to the nearest tenth.