The test-drive is almost over, so the boat is heading east toward the dock. Meanwhile, you're heading north along the shore to meet the boat there. You are watching the boat while you walk, and your head makes an angle of 6 with the shore. You're curious about how fast the prototype is moving, so you decide to calculate it. The following diagram represents the situation, where b represents the boat's distance from the dock, and 3,: represents your distance from the dock. i. ii. iii. You want to write an equation relating 0, b, and 3:. Since you have an angle, you decide you should use trigonometry, but you're not sure whether using cos or tan will be easier. Write two different equations relating 6, b, and 3;; one which uses cos and one which uses tan. Which looks easier to work with? Why? Use whichever equation you choose for the rest of this problem. When you are 30 feet away from the dock, you know that you are jogging at a. speed of 9 feet per second, that your head is at an angle of 6 = g radians, and that the angle 6 is decreasing at a rate of 0.1 radians per second. Using your equation from part a, nd I), the boat's distance from the dock, and %, the rate at which that distance is changing. Based on the context, decide whether I) should be increasing or decreasing. What does this imply about the sign of the answer for subpart ii? Hint: If you set up and solved the problem correctly, you should automatically get the comet Sign. If you didn't, you should go back and doublecheck your work for the earlier ports. (J