PLEASE ANSWER BOTH Q'S:

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A road perpendicular to a highway leads to a farmhouse located 2 mile away. An automobile traveling on the highway passes through this intersection at a speed of 45mph. How fast is the distance between the automobile and the farmhouse increasing when the automobile is 8 miles past the intersection of the highway and the road? The distance between the automobile and the farmhouse is increasing at a rate of C] miles per hour. A rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The worker holds the rope at the same height as the connection point between the rope and weight. The distance from the connection point to the ceiling is 40 ft. Suppose the worker stands directly next to the weight (Le, a total rope length of 80 ft) and begins to walk away at a constant rate of 2 ft/s. How fast is the weight rising when the worker has walked: 10 feet? Answer: 30 feet