Answered: The interior angles of a closed…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Trigonometric Functions: Right Triangle Approach

Section5.2: Trigonometry Of Right Triangles

Problem 69E: Radius of the Earth In Exercise 80 of Section 5.1 a method was given for finding the radius of the...

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When the Radius Increases a. A rope is wrapped tightly around a wheel with radius of 2 feet. If the radius of the wheel is increased by 1 foot to a radius 3 feet, by how much must the rope be lengthened to fit around the wheel? b. Consider a rope wrapped around the Earths equator. We noted in Exercise 17 that the radius of the Earth is about 4000 miles. That is 21,120,000 feet. Suppose now that rope is to be suspended exactly 1 foot above the equator. By how much must the rope be lengthened to accomplish this? The Size of the Earth The radius of the Earth is approximately 4000 miles. a. How far is it around the equator? Hint: You are looking for the circumference of a circle b. What is the volume of the Earth? Hint: The volume of a sphere of radius r is given by 43r3. b. What is the surface area of the Earth? Hint: The surface area of a sphere of radius r is given by 4r2.
Radius of the Earth In Exercise 80 of Section 5.1 a method was given for finding the radius of the earth. Here is a more modern method From a satellite 600 mi above the earth it is observed that the angle formed by the vertical and the line of sight to the horizon is 60.276. Use this information to find the radius of the earth.

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The interior angles of a closed traverse were measured with the following results: A = 110°35’, B = 59°52’, C = 85°05’, D = 70°20’, and E = 213°53’. Determine the angle error of closure in sexagesimal system of units (° ’ ”). * Sum of Interior Angle = (s – 2)180° *