Find the value of x.

Pls! does anybody know a shortcut for answering these types of questions in the future?

Television sizes are based on the length of the diagonal of the television's rectangular screen. so, for example, a 70-inch television is a television having a diagonal screen length of 70 inches. if a 70 inch television's diagonal forms a 29°angle with the base of the screen, what is the vertical height (1) of the screen to the nearest inch? 70 inhin

What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 24/11?