Use the next formula to find the length of the arc
[tex]S=r\cdot\theta[/tex]Where r is the radius, theta is the angle in radians and s is the length of the arc.
The first step is to convert the angle from degrees to radians.
[tex]75deg\cdot\frac{\pi rad}{180deg}=1.31rad[/tex]Now, replace the given values and find the length of the arc
[tex]\begin{gathered} S=5in\cdot1.31rad \\ S=6.55\approx7 \end{gathered}[/tex]The length of the arc is 7 inches.
