Answer: [tex]170^{\circ}[/tex]
Step-by-step explanation:
Given
The dog has a 25 ft leash
Arc length is 74.3 ft
Arc length is given by
[tex]l=\dfrac{\theta }{360^{\circ}}\times 2\pi r[/tex]
here, r=25 ft
l=74.3 ft
Put the values
[tex]\Rightarrow 74.3=\dfrac{\theta }{360^{\circ}}\times 2\pi \times 25\\\\\Rightarrow \theta =170.2^{\circ} \approx 170^{\circ}[/tex]
The measure of the angle is [tex]170^{\circ}[/tex]
