An island is 2 miles from the nearest point p on a straight shoreline. a town is 14 miles down the shore from p. a vertical line segment labeled 2, extending down from a point labeled island and a horizontal line segment extending left from a point labeled town intersect forming angle p. a line segment labeled d 1 begins at point island and falls from left to right to a point on the horizontal line segment. the length of the horizontal line segment from the falling line to point p is labeled x and the length from the falling line segment to point town is labeled 14 minus x. 2 x 14 minus x
(a) if a person can row a boat at an average speed of 4 miles per hour and the same person can walk 5 miles per hour, express the time t that it takes to go from the island to town as a function of the distance x from p to where the person lands the boat.
(b) what is the domain of t?
(c) how long will it take to travel from the island to town if the person lands the boat 4 miles from p?
(d) how long will it take if the person lands the boat 8 miles from p?