.Explanation
We are asked to find the measure of the angle that gives an arc length of 64 inches when the radius of the length is 29 inches
To get the answer, we will use the formula:
[tex]l=\frac{\theta}{360}\times2\pi r[/tex]
In our case, we have
[tex]\begin{gathered} l=64inches \\ r=29inches \end{gathered}[/tex]
Thus
[tex]64=\frac{\theta}{360}\times2\times\pi\times29[/tex]
We will then have
[tex]\begin{gathered} \theta=\frac{64\times360}{2\times\pi\times29} \\ \\ \end{gathered}[/tex]
Thus
[tex]\theta=126.445^0[/tex]
Thus, the answer is
[tex]126.4^0[/tex]
