1. The three angles of a triangle were measured with the following results: A = 42°05',B = 115°38', and C = 22°08'. Determine the most probable value of each angle.2. The angles about a point have the following observed values: 87°07'50",125°17'20", and 147°35'20". Determine the most probable value of the three angles.3. The interior angles of a quadrilateral were observed to be: A = 100°35'40", B =118°44'15", C = 80°54'35", and D = 59°45'50". Determine the most probable valueof each of these angles.4. A quantity was measured ten times with the following results: 34.630, 34.626,34.364, 34.628, 34.629, 34.626, 34.627, 34.633, 34.625, and 34.624 meters.Determine the probable error of the mean and the relative precision of the mean.5. A surveying instructor sent all the 40 students in his class out to measure a distancebetween two points marked on a runway. The students working in groups of fourcame up with 10 different measurements as follows: 920.45, 921.05, 921.65, 920.25,920.15, 921.85, 921.95, 920.45, 921.15, and 921.35 meters. Assuming these valuesare equally reliable and that variations result only from accidental errors, determinethe relative precision of single measurement and the relative precision of the mean.6. The following values were determined in a series of rod readings made underidentical conditions: 3.312, 3.307, 3.304, 3.306, 3.309, 3.301, 3.311, 3.308, 3.312,3.306, and 3.313 meters. Determine the following: most probable value of theobserved rod readings, probable error of a single measurement and of the mean,and the relative precision of a single measurement and of the mean.

As per guidelines we have to answer only one question please upload the remaining question…

Answered: The three angles of a triangle were…

The three angles of a triangle were measured with the following results: A = 42°05', B = 115°38', and C = 22°08'. Determine the most probable value of each angle. %3D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: In levelling across a wide river on Pampanga, a reciprocal level reading were taken between points B…

Q: Given the x and y values shown, what are the slope and intercept of the least squares line that best…

A: To find the equation of line we have to perform regression analysis x y x2 y2 xy 3 9 9 81 27…

Q: To determine the horizontal distance between Q and R, a tacheometer was used and was placed at P.…

A: Given: Stadia intercept for Q = 0.320 m Stadia intercept for R = 0.210 m Angle QPR = 61°30’30”…

Q: The observed interior angles of a triangle are A = 35°14'37", B = 96° 30' 09", and C= 48°15'05".…

Q: Using a 1 second theodolite the following clockwise angles were measured in a closed traverse. What…

A: The given data is: The traverse angle is given as: 163 27' 36" 3240 18' 22" 620 39' 27" 330 19' 18"…

Q: The observe interior angles of the triangle are A= 35°14'37", B= 96°30'09", and C= 48°15'05".…

A: To calculate the mean amount of area one needs to calculate all numbers of areas for a given…

Q: The interior angles of a quadrilateral were observed to be: A = 103°33’10’’, B = 114°54’55’’, C =…

A: Given: The interior angle A is 103°33’10’’. The interior angle B is 114°54’55’’. The interior angle…

Q: The lengths of the sides of triangle ABC, as measured with an EDM instrument are AB=162m, BC=113m,…

Q: Q.2. (20 Points) The measured slope distance of a line was 882.50 m. The following table shows the…

A: It is required to determine the correction for slope. Here, a is the slope angle, and L is the…

Q: The following are the observed data for an open compass traverse. Adjust the observed directions and…

A: From the given table, we have LINE Observed Whole Circle Bearing (WCB) CD 40°15'1 DC 220°30'…

Q: The observed angles of a triangle are as follows: A = 340 20' 36" B = 490 16' 34" C = 960 22' 41"…

Q: A wide river that is connected to the proposed Kaliwa Dam was measured using a reciprocal leveling…

A: we know that the difference in the elevation of two station is =BS-FS to get more accurate results…

Q: The following interior angles of a five-sided figure were measure with the same precision. ANGLE…

A: The given data is shown below:

Q: If the elevation of A (benchmark) is 45.074 m, formulate A, B, L and X matrices to adjust the…

A: Given:- The elevation of point A (benchmark) = 45.074 m The following leveling is also given From…

Q: The three angles of a triangle were measured as follows: Angle Observed Value A…

A: Consider the given data. For a triangle, A+B+C=180°

Q: Based on the following, determine the interior angles at A, B, and C. S 86 42 36" w N 62 55 00" E A…

A: AC = S11°47'07''W CB = S86°42'26''W AB = N62°55'00''E

Q: A surveying student paces a 85m line 5 times with the following results 89, 91, 90, 88 and 90.…

Q: Fundamentals of Surveying: Please show your solution. A line with bearing, S 9° 45' W intersects…

Q: From the ff data of measuring over level ground, determine the: a) Length of line BA b) Mean length…

Q: Measurement of three horizontal angles about point P: are APB= 12°31'50'' BPC= 37°29'20'', and CPD=…

A: Given data, APB = 12°31'50'' BPC = 37°29'20'' CPD = 47°36'30'' APD = 97°37'00''

Q: 1. For the closed traverse below, determine the balanced interior angles. Check and prove your work.…

Q: An unknown line was paced by a surveyor and gathered the following data: 489, 482, 489, and 483. He…

A: Given: The paced data for the unknown line is 489, 482, 489, and 483. The distance of the new line…

Q: An engineer obtained the following data of a lot with two missing entries. Line Azimuth Length AB…

A: NOTE - Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: . A Geodetic Engineer used a 100 m. tape in measuring a line and recorded to be 1000.05 m long. The…

Q: The observe interior angles of the triangle are A= 35°14'37'', B= 96°30'09'', and C= 48°15'05''.…

A: ∠ A= 35°14'37''∠ B= 96°30'09'' ∠C= 48°15'05''

Q: The following interior angles of a five-sided figure were measure with the same precision. ANGLE NO.…

A: Given data is shown below:

Q: The observed angles of a triangle are as follows: A=34°20 36, B=49°16 34, C=96°22 41. Compute for…

A: The given data is shown below: A=34°20'36''B=49°16'34''C=96°22'41''

Q: The interior angles of a triangular traverse were repeatedly measured, with the results shown below.…

Q: Measurement of three horizontal angles about point P: are APB= 12°31'50" BPC= 37°29'20", and CPD=…

A: Solution:-Given,APB=12°31'50''BPC=37°29'20''CPD=47°36'30''APD=97°37'00''Determine the most probable…

Q: An angle APB is measured at different times using various instruments and procedures. The results,…

A: Most probable value: The value of an angle at a triangulation station that is found from the value…

Q: 10. The observed interior angles of a triangle are A, B and C. Determine the discrepancy for the…

A: Given, The Interior angles in the Traingle are as follows: Location Interior angle Angle A…

Q: 2. MOST PROBABLE VALUE. Measurement of three horizontal angles about a point P are: APB =…

Q: To determine the distance between two points P and Q and elevation of Q, following observation were…

A: Given:- H=1.280m P=+4025'20" Staff reading=1.545,1.905,2.265 RL of P=123.265m To find:- unknown…

Q: From the ff data of measuring over level ground, determine the: a) b) c) Length of 1ine BA Mean…

Q: Determine the x-coordinate of the centroid of the shaded area by integration. y 28 27 Answer: T 34

Q: The observed interior angles of triangle ABC and their corresponding number of times measured as…

Q: The observed interior angles of a triangle are A=35°14'37", B=96°30'09", and C=48°15'05". Determine…

A: The given options are wrong. Correct answer is 35°14' 40"

Q: To determine the horizontal distance between Q and R, a tacheometer was used and was placed at P.…

A: Given: Stadia intercept for Q = 0.320 m Stadia intercept for R = 0.210 m Angle QPR = 61°30’30”…

Q: If the Compass Course 195°, Var. 15°W Calculate True Bearing. And compass error Compass Course…

A: Concept- True Bearing=Compass Course±Deviation+ve for E deviation- for W deviation

Q: The three angles of a triangle were measured with the following results: A=42°05’, B = 115°38’ and C…

A: The given data is shown below: A=42°05'B=115°38'C=22°08'

Q: A line was measured three times and yield the following results: 856.42, 856.69 and 856.12 m.…

Q: Given the following data, compute the requirements. (20 COURSE ADJ LATITUDE ADJ DEPARTURE -W + N -S…

A: To determine the area of the given traverse using: DPD method DMD method The DPD and DMD methods…

Q: AN ANGLE ABC IS MEASURED AT DIFFERENT TIMES USING VARIOUS INSTRUMENTS AND PROCEDURES. THE RESULTS,…

A: Angle ABC is measured using various instruments and methods Result 1:- Angle ABC = 75°05'26'' weight…

Q: 8. WEIGHTED MEASUREMENTS. Three sides of a triangle were measured with the following results:…

Q: The interior angles of a quadrangle were observed and recorded as follows: A = 108°25'10"…

A: To find most probable value of angle C

Q: The angles about a point Q have the following observed values. 130°15'20", 142°37'30", and…

A: Given Data: Angles about a point are: 130°15’20", 142°37’30", and 87°07°40" It is asked to…

Q: Q4) Calculate the area between the irregular boundary shown in the figure below and the chain line…

A: Haii as per Bartleby policy I can solve only first question if you want solution to the second…

Q: An unknown line was paced by a surveyor and gathered the following data: 489, 483, 488, and 482. He…

Concept explainers

Control Survey and Geodetic reductions

Control surveys or survey controls are used to establish reference points as a basis for various construction activities. Vertical and horizontal control points are to be established in a control survey to increase accuracy. After establishing the control points, all other types of surveys such as topographic, right-of-way, aerial mapping, construction layout, boundary surveys, and utility mapping can be worked upon so that control networks can be formed. The place from which the observations are made is called a survey station.

Question

1. The three angles of a triangle were measured with the following results: A = 42°05',
B = 115°38', and C = 22°08'. Determine the most probable value of each angle.
2. The angles about a point have the following observed values: 87°07'50",
125°17'20", and 147°35'20". Determine the most probable value of the three angles.
3. The interior angles of a quadrilateral were observed to be: A = 100°35'40", B =
118°44'15", C = 80°54'35", and D = 59°45'50". Determine the most probable value
of each of these angles.
4. A quantity was measured ten times with the following results: 34.630, 34.626,
34.364, 34.628, 34.629, 34.626, 34.627, 34.633, 34.625, and 34.624 meters.
Determine the probable error of the mean and the relative precision of the mean.
5. A surveying instructor sent all the 40 students in his class out to measure a distance
between two points marked on a runway. The students working in groups of four
came up with 10 different measurements as follows: 920.45, 921.05, 921.65, 920.25,
920.15, 921.85, 921.95, 920.45, 921.15, and 921.35 meters. Assuming these values
are equally reliable and that variations result only from accidental errors, determine
the relative precision of single measurement and the relative precision of the mean.
6. The following values were determined in a series of rod readings made under
identical conditions: 3.312, 3.307, 3.304, 3.306, 3.309, 3.301, 3.311, 3.308, 3.312,
3.306, and 3.313 meters. Determine the following: most probable value of the
observed rod readings, probable error of a single measurement and of the mean,
and the relative precision of a single measurement and of the mean.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

2. The following interior angles of a triangle were measured with the same precision LCD of the No.of Measurements Hint: Weight = %3D No.of measurement of that angle Weight of that angle Angle Error = Total Weight Angle Value No. of measurements A 41° 5 В 77° 6. C 63° Determine the most probable value of angle A b. Determine the most probable value of angle B Determine the most probable value of angle C а. C.
The weight of an angle is assumed to be proportional to the number of times that it has been repeated. Five angles in a five-sided figure are measured with the following results. (18) No of Repetitions Angle Observed Value A 86°0ʻ18.29" 6 B 134°40'55" C 75°47'50" 2 D 167°0'02.10" 6 76°10'20" 4 Compute the adjusted values for: D, B, and E.
14. Shown in the accompanying Figure C are the measured offsets from a traverse line AB to an irregular boundary and the spacing between the offsets. Determine the area bounded by the traverse line, the irregular boundary and the end offsets using a.) Trapezoidal rule b.) Simpson's One-third rule and c.) Compute the difference between Trapezoidal Rule and Simpson's One-Third Rule 5.60 6.40 7.90 6.20 7.50 950 12.30 10.80 2.70 h₁ h₂ h, h₂ ns nh₂ ng am-6m 6m 6m 6m 6m 6m 6m²- ing
The three angles of a triangle were measured with the following results: A=42°05',B=115°38',and C=22°08^'. Determine the most probable value angle B. a. 115° 47 b. 115° 29' c. 115° 41' d. 115° 35'
Note: show how to get the value of the angles’ 3, 4, and 5 by sine law and by adding (just like the example on sample problem 2).
Four interior angles of a five-sided polygon traverse were observed as A = 110°4759", B = 121°06'12", C = 122°33'32", and D = 114°02′25". The angle at E was not observed. Part A If all observed angles are assumed to be correct, what is the value of angle E? Express your answer in degrees to six significant figures. E = -- ΑΣΦ ↓1 vec ? 0
b) Ten measurements of an angle are given in Table 1. Compute the mean of the angle x, the standard error of a single measurement, and the standard error of the mean. Table 1 Observation No. Measured angle 1 31° 02' 29.3" 31° 02' 24.0" 3 31° 02' 27.9" 4 31° 02' 26.8" 5 31° 02' 26.1" 31° 02' 25.9" 7 31° 02' 26.1" 8. 31° 02' 27.8" 9. 31° 02' 27.2" 10 31° 02' 28.0"
Problem 2. Locate the centroid x of the shaded area. y y = (3/25) x² 3 m X 5 m
Please solve the problem attached image. Hint: Ra= 11.63, Rb=18.37
Solve the following using Double Integration Method loka /ma %3D man bm EI = lo00 KN-m² %3D
4) Determine the horizontal distance from A to B if the readings are: ROD STADIA READING POSITION UPPER LOWER 1.68 1.34 2.56 1.92 ** Stadia constant 0.20 m Stadia interval factor 100
With your pencil, make a dot on the position of your best visual estimate of the centroid of the area of the circular sector. y 260 mm 30° 30° Now find the exact location of the centroid. (X, F) = ( i i How close did you come with your guess?