Two lighthouses are located 40 miles from each other. a boat is spotted at an angle of 37 degrees northeast of the western lighthouse. at this point, the boat is 28 miles from the eastern lighthouse. how far is the boat from the western lighthouse? a. 46.27 miles b. 17.43 miles c. either 46.27 miles or 17.43 miles d. there is no possible solution.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.