On your property is a large tree that sits on the other side of a pond. You would like to know how tall the tree is, but don't have a long enough ladder to measure it directly. You back up so that the very top of the tree is at the edge of the pond, 12 feet away. If your eye is 5'6" above the ground and the pond is 170 feet wide, how tall is the tree (to the nearest foot)?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.