Molly is hiking across a large flat plain from her camping spot to a Park Ranger station that is 15 miles away. After walking 4.3 miles, she realizes she is 12° off course. To the nearest tenth of a mile, how far from the station is she when she realizes her error?

Among the most famous of all meteor showers are the perseids, which occur each year in early august. in some areas the frequency of visible perseids can be as high as 40 per hour. given that such sightings are poisson events, calculate the probability that an observer who has just seen a meteor will have to wait at least five minutes before seeing another.