How fast is water level rising when depth at deepest point

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Reference no: EM131004178

1. A swimming pool is 20 ft wide, 40 ft long, 3 ft deep at the shallow end, and 9 ft deep at is deepest point. A cross-section is shown in the figure. If the pool is being filled at a rate of 0.5 ft³/min, how fast is the water level rising when the depth at the deepest point is 5 ft?

2067_A swimming pool Dimension.jpg

2. The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. At the moment when the bottom of the ladder is 5 m from the wall, it slides away from the wall at a rate of 0.3 m/s. How long is the ladder?

3. A plane flying with a constant speed of 330 km/h passes over a ground radar station at an altitude of 3 km and climbs at an angle of 30 degree. At what rate is the distance from the plane to the radar station increasing a minute later?

Reference no: EM131004178

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