The shape of the drainage basin can be approximated by a polygon, whose vertices are located at the following coordinates: (5, 5), (-5, 5), (-5,-5), (0.-10), and (5,-5). The rainfall amounts of a storm were recorded by a number of rain gages situated within and nearby the basin as follows: All coordinates are expressed in kilometers. Determine the average rainfall on the basin by (a) arithmetic-mean method, (b) the Thiessen method, and (c) the isohyetalmethod.
The shape of the drainage basin can be approximated by a polygon, whose vertices are located at the following coordinates: (5, 5), (-5, 5), (-5,-5), (0.-10), and (5,-5). The rainfall amounts of a storm were recorded by a number of rain gages situated within and nearby the basin as follows: All coordinates are expressed in kilometers. Determine the average rainfall on the basin by (a) arithmetic-mean method, (b) the Thiessen method, and (c) the isohyetalmethod.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
The shape of the drainage basin can be approximated by a polygon, whose vertices are located at the following coordinates: (5, 5), (-5, 5), (-5,-5), (0.-10), and (5,-5). The rainfall amounts of a storm were recorded by a number of rain gages situated within and nearby the basin as follows:
All coordinates are expressed in kilometers. Determine the average rainfall on the basin by (a) arithmetic-mean method, (b) the Thiessen method, and (c) the isohyetalmethod.
![Gage Number
Coordinates
Recorded Rainfall
(min)
63
(7,4)
(3,4)
2
59
3
(-2,5)
41
4
(-10,1)
(-3,-3)
(-7,-7)
(2.-3)
39
5
105
98
7
60
8
(2.-10)
(0.0)
41
81](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44a5c149-ab4c-4a0a-8ab0-e265c8943ae5%2F9f8e34c2-4374-4292-8b00-b625c14f0af5%2Fz41zkfy_processed.png&w=3840&q=75)
Transcribed Image Text:Gage Number
Coordinates
Recorded Rainfall
(min)
63
(7,4)
(3,4)
2
59
3
(-2,5)
41
4
(-10,1)
(-3,-3)
(-7,-7)
(2.-3)
39
5
105
98
7
60
8
(2.-10)
(0.0)
41
81
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