A catchment of a river has a semi-circular shape on one of its sides and an equilateral triangle drawn on the diameter of the semi-circle, on the other side. The length of the diameter is 20km. The catchment has 5 rain gauge stations which are located on the following coordinates, considering the diameter as the x-axis and its center as the origin. The coordinates are: (5,5), (-5,5), (-5,-5), (5,-5) and (0,0) km for the respective stations. The rainfalls recorded at these stations are 100, 90, 80, 120, and 100 mm respectively. a).Calculate the average depth of the rainfall by using the Thiessen polygon method. b). What is the total volume of precipitation at station (5,5) in m³ c). What is the total volume of precipitation at station (5,-5) in km^2-m
A catchment of a river has a semi-circular shape on one of its sides and an equilateral triangle drawn on the diameter of the semi-circle, on the other side. The length of the diameter is 20km. The catchment has 5 rain gauge stations which are located on the following coordinates, considering the diameter as the x-axis and its center as the origin. The coordinates are: (5,5), (-5,5), (-5,-5), (5,-5) and (0,0) km for the respective stations. The rainfalls recorded at these stations are 100, 90, 80, 120, and 100 mm respectively.
a).Calculate the average depth of the rainfall by using the Thiessen polygon method.
b). What is the total volume of precipitation at station (5,5) in m³
c). What is the total volume of precipitation at station (5,-5) in km^2-m
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