the central angle of the arc is 105 degrees
step 1
Find the length of the complete circle
C=2pi(r)
we have
pi=3.14
r=30/2=15 ft
substitute
C=2(3.14)(15)
C=94.2 ft
Remember that the complete circle subtend a central angle of 360 degrees
so
Applying proportion
Find out the length of the arc by a central angle of 105 degrees
so
94.2/360=x/105
solve for x
x=105*94.2/360
x=27.5 ft
answer is 27.5 ft