Final answer:
Stack Data Structures are used in managing browser history through a LIFO system and in function call management within programming languages, whereby function call information is managed using a stack.
Step-by-step explanation:
One application of the Stack Data Structure is in managing the number of pages in a web browser. When you visit a webpage, that page is pushed onto the stack. When you click the 'Back' button, pages are popped off the stack, which corresponds to the pages you have previously visited. The stack data structure is ideal for this because it follows the Last In, First Out (LIFO) principle.
Another frequent use of a stack is in function call management within programming languages. When a function is called, its information is "pushed" onto the call stack, including local variables and the return location. When the function is completed, this information is "popped" off, returning to the location of the call. The use of a stack ensures that each function call is independent and can return to the correct place in the program after execution.