The base of a right triangle is increasing at a rate of 5 meters per day and the height is decreasing at a rate of 2 meters per day. When the base is 14 meters and the height is 23 meters, then how fast is the HYPOTENUSE changing? The rate of change of the HYPOTENUSE is C] meters per day. (Enter your answer as a integer or as a decimal number rounded to 2 places.) A balloon is rising at a rate of 6 meters per second from a point on the ground 48 meters from an c Find the rate of change of the angle of elevation from the observer to the balloon when the balloo meters above the ground. I l radians! second A street light is at the top of a 19 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 6 ft! sec along a straight path. How fast is the length of her shadow increasing when she is 40 ft from the base of the pole? An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 3 cm, and the height is 7 cm. Find the rate at which the water level is rising when the water level is 2 cm. A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day and the sides of the square are decreasing at a rate of 4 meters per day. When the radius is 5 meters, and the sides are 19 meters, then how fast is the AREA outside the circle but inside the square changing? The rate of change of the area enclosed between the circle and the square is [j square meters per day