Following the Jamaat Salaah of the Haram from the Hotel Jamaat Khaana

Q: Nowadays, some people are performing salaah in the hotel near the Musjid al Haraam while following the jamaat of Musjid al Haraam. The hotel has speakers installed and the recitation of the Imaam of Musjid al Haraam can easily be heard. However, since the Imaam is not present infront of the muqtadis, I am doubting whether the salaah is valid or not. Is it permissible for people to follow the Imaam in salaah while in their hotel rooms? Similarly, is it permissible to follow the Imaam in the hotel jamaat khaana? 

Drinking mocha ice frappe with less than 0.05% alcohol

Q: In McDonalds, the mocha ice frappe I used to buy was said by McDonalds to be suitable for vegetarians. However, apparently the whip used on top has less than 0.05% alcohol in it. I read this statement by McDonalds: “The level of alcohol is very low and evaporates during the process. The alcohol level in the final Caramel Iced Frappe, Chocolate Chip Iced Frappe and whipped cream is less that 0.05%.“ Does this mean I can purchase the drink based on this knowledge?

Giving zakaat to one's maid

Q: A maid recently started coming to our house. Apparently she seems needy. I have asked her about her possessions and she says that she doesn't have any gold/silver and neither do they have any saving. Can I give her zakat? I can not go and investigate myself, will it be sufficient to rely on what she says?