Avacyn, Angel of Hope has indestructible and gives the other creatures he controls indestructible as well. if it is tapped, are his other creatures still indestructible? Example, if he plays avacyn angel of hope and I play Claustrophobia on it, am I able to kill his other creatures, or do they still have the indestructible ability?
All creatures will remain indestructible.
The only things that being tapped means is that a creature cannot attack, cannot block, and cannot tap to pay for activated abilities. Other than that, tapping has no effect.
Tapping has no effect on static abilities such as Avacyn's. All creatures will remain indestructible.
The ability would only work as described if it read "While Avacyn, Angel of Hope is untapped, other permanents you control have indestructible." or something similar.