ANSWER :
55.5 ft
EXPLANATION :
Recall the cosine law :
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
where a and b are the sides of the triangle with an included angle C as the angle between them.
and c as the opposite side to that included angle.
From the problem, the two sides are a = 95 ft and b = 114 ft
The included angle between them is C = 29 degrees
and c is the distance between kites
Using the formula above :
[tex]\begin{gathered} c^2=95^2+114^2-2(95)(114)\cos29 \\ c=\sqrt{95^2+114^2-2(95)(114)\cos29} \\ c=55.5\text{ }ft \end{gathered}[/tex]
