Please help me (a) Consider two points on the equator at coordinates (latitude, longitude) of (0°N, 20°E) and(0°N, 40°W). What is the surface distance between these two points, measured in km?Express your answer to 4 significant digits.ANSWER:(b) Consider two points with the same longitudes as in part (a) but at latitude 45°N. What isthe surface distance between these two points? Express your answer to 4 significant digits. (c) Now consider two points on the same meridian of longitude, but with different latitudes,specifically (20°N, 127°W) and (30°N, 127°W). Determine the surface distance betweenthese points. Express your answer to 4 significant digits.ANSWER:(d) Would your answer to part (c) be different if the points were (50°N, 127°W) and (60°N,127°W)? If so, by how much?ANSWER:(e) Would your answer to part (c) be different if the points were along longitude 12°E insteadof 127°W? If so by how much?ANSWER:

We use the Haversine formula to find out the great circle distance between two points (ϕ1,λ1) and…

(a) Consider two points on the equator at coordinates (latitude, longitude) of (0°N, 20°E) and (0'N, 40°W). What is the surface distance between these two points, measured in km? Express your answer to 4 significant digits.

(a) Consider two points on the equator at coordinates (latitude, longitude) of (0°N, 20°E) and (0'N, 40°W). What is the surface distance between these two points, measured in km? Express your answer to 4 significant digits.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter14: Highway Surveys And Location

Section: Chapter Questions

Problem 11P

See similar textbooks

Related questions

Q: The kinematic viscosity of a fluid is 0.1 Stokes. What will be the value is m?/s? a) 10°2 b) 103 x)…

A: Given data : Kinematic viscosity (ν)=0.1 Stokes

Q: 1. The measured length of airport runways in five major cities in the Philippines are: 1250.00,…

A: Consider the given length of the five runways…

Q: how far would you have walked (in miles)?

Q: 2. Determine the distance traveled of a car using all data below: Time in mins. 1 2 3.25 4.5…

Q: A student recorded the following number of paces after walking a distance of 54.269m repeatedly as…

Q: A distance AB is measured five times as 610.04, 610.05, 610.07, 610.12, and 610.04 meters. The…

A: Given data: distance AB is measured five times as 610.04, 610.05, 610.07, 610.12, and 610.04…

Q: Derive the formula given for the area of a trapezoid. Start by dividing the area into two triangular…

A: To find the formula for the area of a trapezoid. Let, Top width of trapezoid=B depth of section=y…

Q: The length of a pipe is 1000 m and its diameter is 20 cm. If the diameter of an equivalent pipe is…

A: Given data- Length of pipe L1=1000 mdiameter D1=20 cm=0.20 mdiameter of equivalent pipe D2=40…

Q: A particle moves along a straight line with a velocity V = 12-312 m/s, where t is in seconds. When t…

Q: At what altitude h above the north pole is the weight of an object reduced to 24% of its…

A: Assuming spherical earth of radius R, the altitude h above the north pole where the weight of an…

Q: a body of 30 metric tons mass is moved la

A: Using relationRighting arm=wxW×ldw=30MTW=5080MTx=10ml=1.2md=0.09m

Q: Determine the distance h for which the spacecraft S will experience equal attractions from the earth…

A: Given :

Q: Three cars travel over a 60 m. section of highway at constant speeds of 19, 20 and 25 m/s. Compute…

A: Given- constant speeds- v1= 19 m/s v2= 20 m/s v3= 25 m/s

Q: The length of a pipe is 1000 m and its diameter is 20 cm. If the diameter of an equivalent pipe is…

Q: A right triangle is inscribed in a circle with legs 6 and 10. Which of the following gives the area…

Q: 4. If the radius of a sphere is 8 inches, find the area of a zone whose altitude is 5 inches.

A: From the give question it is required to find the area of a zone whose altitude is 5 inches.

Q: For the following questions, assume that the Earth is a sphere of radius r. = 6378.1 km. (a)…

A: The Haversine formula for computing great circle distance between two points ϕ1,λ1 and ϕ2,λ2 is, d=…

Q: 7) Convert the following volumes as indicated: 500 ft to cubic yards 150 yd to cubic meters

A: 500 ft³ to cubic yards [1 cubic yards= 27ft³] [1 cubic yards = 0.765m³]

Q: 4. Find the volume and total area of a sphere which circumscribes a cylinder of revolution whose…

Q: A train brakes from 80 m/s to a stop over a distance of 150 m. How much time does it take to put the…

A: Given Initial velocity = u = 80m/s Final velocity = v = 0m/sec Distance travelled = s= 150m

Q: 5. What is the default value of pipe length? a) 5 meters b) 20 meters C) 10 meters

A: This question is related to the Pipe Network from Fluid Mechanics. In this question we answered…

Q: Q4\ At what altitude h above the north pole is the weight of an object reduced to one- of its…

A: This question is related to the Survey Engineering.

Q: Given the cross section and the side slope of 1.25:1.00 and the base is 6.0m, calculate the volume…

A: We will use end area method

Q: You're calculating the volume of a cube with an edge length of 0.250 inches. Which of the following…

Q: Lake Mead near the Hoover Dam, which is the largest man-made lake in the United States, contains…

A: Calculating the volume of water in kg and lbm: =28536000*(43650ft2/1 acre)*(1m3/35.31 ft3) as 1…

Q: IN figure , the curved gate radius is 1.5 m, the water level is 4.5 m up the gate , find hc, * ? by…

Q: What is the range of reaction distances for a car traveling at 70 miles per hour? (Use the lower end…

Q: A civil engineer measures the length of an airport runway. The length is 7627m . What is the…

Q: Choose the answer that shows 6,327,739.296 meters converted to international feet. 20,760,258.10…

A: A meter(m) is the base unit of length and distance in the International System of Units (SI) A foot…

Q: 1. A body of mass 10 slugs is dropped from a height of 1000 ft with an initial velocity of 2 feet…

A: Given Mass of body = 10 slugs Height = 1000 ft Initial velocity = 2 ft/ sec Limiting velocity=…

Q: A woman whose mass is 60 kg on the earth's surface is in a spacecraft at a height of twice the earth…

A: Last option is correct =60 Mass not varying property, the mass of an object will not change with…

Q: A golf ball is struck with a velocity of 82 ft/s as shown in (Figure 1).

Q: A fuel tank holds 2811⁄2 gallons. One gallon of #2 fuel weighs 71⁄10 pounds.How many pounds of fuel…

A: Given values: I fuel tank holds 2811/2 gallons. 1 gallon of fuel holds 71/10 pounds

Q: 27. What is the surface area of a sphere whose volume is 2060 cu.m?

Q: Choose the answer that shows 21' 11-1/4" converted to decimal feet. O 21.95 feet O 21. 9 feet O…

A: answer = 21.94 feet

Q: Part A Assuming that water can be treated as an ideal fluid, what is the flow rate through the…

A: Given, L = 1.90 m D = 120mm or 0.12 m d = 60 mm or 0.06 m SG of manometric fluid = 13.6

Q: What is the density in the throat section? What is the area in the throat section? What is the…

Q: The average distance between earth and the sun is 2.5 x 10^11m. (a) Calculate the average speed of…

A: Given: The distance between the earth and the sun is 2.5 x 1011 m.

Q: Determine velocity Mass=30 kg K.E=1200 J

Q: Calculate the average speed of a body traveling 120m to the south in one minute

A: Given data, Distance = d = 120m Time = 1 minute = 60 sec Find : Average speed (S) ?

Q: Q3: Calculate the quantity of water in a reservoir in the following units: (a): : (b) m': (c):…

A: Calculating the quantity of reservoir: 1 acre=43560 ft2 3 acres=3*43560 ft2 =130680 ft2…

Q: EXERCISE #1 Solve this problems using Scilab. Write your name and section in scilab and include also…

Q: At what altitude h above the north pole is the weight of an object reduced to 63% of its…

A: F = Gm1m2/r2 For reducing weight of an object, it's acceleration due to gravity will have to be…

Q: 1. If the position of an object changes by distances much greater than its own size in a reasonable…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A sphere is fully filled with a liquid whose specific gravity is 1.32. Determine the radius of the…

A: Option A is correct

Q: 3. Calculate the percentage increase in length of a wire of diameter 2.5 mm stretched by a force…

Q: Problem 1. A news broadcasters reports that the barometric pressure is 772 mm of mercury. Calculate…

A: To find the atmospheric pressure in KPa (abs)-

Q: A company wants to run a pipeline from a point A on the shore to a point B on an island which is 6…

Question

Please help me

(a) Consider two points on the equator at coordinates (latitude, longitude) of (0°N, 20°E) and
(0°N, 40°W). What is the surface distance between these two points, measured in km?
Express your answer to 4 significant digits.
ANSWER:
(b) Consider two points with the same longitudes as in part (a) but at latitude 45°N. What is
the surface distance between these two points? Express your answer to 4 significant digits.

(c) Now consider two points on the same meridian of longitude, but with different latitudes,
specifically (20°N, 127°W) and (30°N, 127°W). Determine the surface distance between
these points. Express your answer to 4 significant digits.
ANSWER:
(d) Would your answer to part (c) be different if the points were (50°N, 127°W) and (60°N,
127°W)? If so, by how much?
ANSWER:
(e) Would your answer to part (c) be different if the points were along longitude 12°E instead
of 127°W? If so by how much?
ANSWER:

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: Haversine formula to determine distance

VIEW

Step 2: Plug in the given coordinates into the equation

Step 3

Step 4

Step 5

Step 6

Step by step

Solved in 6 steps

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

Calculate the spherical Excess in a triangle two sides of which are 3,950.55 m. and 6,245.25 m. with an included angle of 43⁰30’. Assume the average radius of curvature to be 6,372,160 m. Please provide figure and complete solution
Area and perimeter of a parking lot Length= 168 ft Width= 60 ft Depth= 5 inches
The length of a water course passing through the fields was measured with 30 m steel tape and the measured length was equal to 4 Gunter’s chain and 2 Revenue chains. Later on, it was found that the tape was approximately half link of Gunter’s Chain too long. Find the true length of the line in meters. How many steps you have to walk to complete this measurement, if you perform this task?
Determine the area bounded by a straight road and an irregular boundary using the data given below: STATION OFFSETS 0+000 7.89 0+020 5.07 0+040 5.77 0+060 8.25 0+080 4.13 0+100 4.47 Use the best method applicable. Round your answer to 3 decimal places.
1. In item No. I what is the length of e or CP? a)10,189,89m b) 9,189.89m c) 10,245.67m d) 9,678,34m 2. In item No. I what is the value of theta (θ)?
Question Answer the following in Trigonometric Way: Three prospective buyers of a triangular parcel of land are interested in buying the land. All of these prospective buyers want the land so much because each side of the land is along a road which makes the land accessible. The only thing that keeps them from buying the land is that they do not know the area of the land. (1) Prospective buyer #1 wants the area to be. 750m- 850m^2. Find its Trigonometric Measure. (2) Prospective buyer #2 wants the area to be within the range of 500m-750m^2. Find its Trigonometric Measure. (3) and prospective buyer #3 wants the area to be exactly 850m^2. Find its Trigonometric Measure.
the role of a quantity surveyor in ensuring sustainable development in hydro-electric project.
Determine the area bounded by a straight road and an irregular boundary using the data given below: STATION OFFSETS 0+000 5.74 0+020 4.85 0+040 8.69 0+060 7.82 0+080 7.59 0+100 6.44 Use the best method applicable.
Surveying homework . As shown in the figure, Point A and point B are both sides of the river , but point B cannot be reached. How can we measure the distance between point A and point B? Design a measurement scheme according to what you have learned.
From the given tract of land having the following data, computed the following: undefined Double meridian distance of line CD Double parallel distance of line CD Area of tract of land in acres Show the solution
2. At a certain instant the dimensions of a rectangle are 8 and 12 feet, and they are increasing at the rate 3 and 2 feet per second, respectively. How fast is the area changing? 3. A rectangular field is to be enclosed by a fence and divided into three lots by fences parallel to one of the sides. find the dimensions of the largest field that can be enclosed with 800 feet of fencing.
The volume of irrigation water is usually expressed in acre-feet. One acre-foot is a volume of water sufficient to cover exactly 1 acre of land to a depth of exactly 1 foot (640. acres = 1 mi2). The principal lake in the California Water Project is Lake Oroville, whose water storage capacity is listed as 3.54  106 acre-feet. Express the volume of Lake Oroville in ft3.