Related Rates Problems: Complete 1 of the following 2 problems. You should include a nicely labeled diagram of the situation and clearly show all your steps for solving. the final answer should be a complete sentence! Circle the letter of the problem you choose to complete (this will be the one I grade!). No extra credit will be given if you complete both problems.

a. A ladder 8 feet long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 3 ft/sec, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is 5 ft from the wall?

b. Two cars leave the same gas station at 8am. One travels south going 50 mph while the second car travels east going at 45 mph. At what rate is the distance between the cars increasing at 10am (or two hours after they left the gas station)?