Tim's Bridge
Every day on Tim's walk to school he comes to a river. He has to walk far out of his way to get to a shallow crossing point in the river. Tim would like to construct a bridge across the river to shorten his walk to school. Tim finds that the point at which he crosses the river is 2 miles away and that he makes a 60 degree turn to get back on his path towards school. Given that the angle between the bridge and current path to school will be 70 degrees, can you help Tim figure out how long of a bridge he will need to construct?