The ends of a trough, 8 ft in length, are isosceles triangles with height 2ft and base 4ft. Water is pumped into the trough at the rate of 2ft^3/min. If the height of the water is 2ft, how fast is the water level rising?
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- A light is hung 6 meters above a straight horizontal path. If a man 2 meters tall is walking toward the light at the rate of 1.7 meters per second, at what rate is the tip of the man's shadow moving in meter/s per second?A baseball diamond has the shape of a square with sides 90 feet long, suppose the player is running from first base to second base at a speed of 25 feet per second. Find the rate at which the distance from home plate is changing when the player is 20 feet from second baseIf the sides of an equilateral triangle are increasing at a rate of 6 m/min. How fast is the area of the triangle changing when the sides are 12 meters?
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