A river that is one-quarter of a mile wide is flowing at a speed of 1 mile per hour. A swimmer enters the river and swims directly toward the opposite bank at a speed of 6 miles per hour. The current alters the swimmer's direction and causes her to reach the opposite bank some distance downstream. Find the angle the swimmer's resultant path makes with the line directly across the river. (Use decimal notation. Give your answer to two decimal places. Include the degree sign in your answer.) angle How far downstream does the swimmer make landfall? (Give an exact answer. Use symbolic notation and fractions where needed.) distance = miles

A river that is one-quarter of a mile wide is flowing at a speed of 1 mile per hour. A swimmer enters the river and swims directly toward the opposite bank at a speed of 6 miles per hour. The current alters the swimmer's direction and causes her to reach the opposite bank some distance downstream. Find the angle the swimmer's resultant path makes with the line directly across the river. (Use decimal notation. Give your answer to two decimal places. Include the degree sign in your answer.) angle How far downstream does the swimmer make landfall? (Give an exact answer. Use symbolic notation and fractions where needed.) distance = miles