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Step 1As:-Given (dx)/(dt)=1.1ft//sfind rarr(d theta)/(dt)rarr when x=6:'cos(theta)=(BC)/(10)=(x)/( 10)Step 2:'cos(theta)=(BC)/(10)=(x)/( 10)Diffretiate with resfect to (t){:[*(d)/(dt)(cos theta)=(d)/(dt)((x)/( 10))],[(-sin theta)((d theta)/(dt))=(1)/(10)xx(dx)/(dt)=>(d theta)/(dt)=(-1)/(10)xx((dx)/(dt))((1)/(sin theta))],[:'sin theta=(AB)/(AC)=(y)/( 10)],[" IN "/_\ABC rarry^(2)+x^(2)=10^(2)],[y^(2)=100-6^(2)=100-36=64],[y=sqrt64=8],[sin theta=(8)/(10)=(4)/(5)],[(d0)/(dt)=-((1)/(10))xx(1.1)xx(14)/(4)=-(5.5)/(40)=-(1.1)/(8)=(-11)/(80)],[" angle blw ladder and groond crangeng "=(d theta)/(dt)=(-(11)/(80))rad//s]:} ...