What inscribed polygon is being constructed? Explain how you know. ### Bisecting an Angle Using a Compass and StraightedgeThe image above illustrates the process of bisecting an angle using only a compass and a straightedge. This method ensures that the angle is divided into two equal parts. Here is a detailed explanation of the steps involved:1. **Draw the Circle:** - A circle is drawn, denoted by its circumference in blue. The circle helps in determining equidistant points from the center.2. **Mark Four Points on the Circumference:** - Points \(A\), \(B\), \(C\), and \(D\) are marked on the circumference of the circle. These points represent the intersections of the circle with a horizontal and vertical diameter.3. **Intersection Points:** - The diagrams also feature pairing arcs. There are arcs intersecting above point \(A\) and below point \(C\). These arcs serve to identify the bisected angle.4. **Vertical and Horizontal Diameters:** - Two diameters are drawn, dividing the circle into four equal parts. The vertical diameter connects points \(A\) and \(C\); the horizontal diameter connects points \(B\) and \(D\). The crossing of these diameters at the center forms the perpendicular bisectors.5. **Bisecting the Right Angles:** - The arcs crossing at the top and bottom (around points \(A\) and \(C\)) visually signify the angle bisector lines. ### Diagram Explanation:- The circle has four equally spaced points on its circumference labeled as A (top), B (right), C (bottom), and D (left). - Two main diameters are drawn: - Vertical Diameter: Passing through \(A\) and \(C\). - Horizontal Diameter: Passing through \(D\) and \(B\).- Arcs are drawn above the point \(A\) and below the point \(C\), indicating the angle bisector.This method is pivotal in the field of geometry for accurately bisecting angles using basic tools, and forms the basis for more advanced geometric constructions.

Answered: What inscribed polygon is being…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section: Chapter Questions

Problem 75RE

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Take this test as you would take a test in class. When you are finished, check your work against the answers given in the back of the book. A water sprinkler sprays water on a lawn over a distance of 25 feet and rotates through an angle of 130. Find the area of the lawn watered by the sprinkler.
Measurement A city engineer plans to build a footbridge across a lake from point X to point Y, as shown in the picture below. To find the length of the footbridge, she draws a right triangle XYZ, with right angle at X. She measures the distance from X to Z, 800 feet, and from Y to Z, 1,000 feet. How long will the bridge be?
Ice skating The illustration shows three circles traced out by a figure skater during her performance. If the centers of the circles are the given distances apart, find the radius of each circle. Refer to the diagram from the book College algebra, page no : 654
Empire State Building You are standing 45 meters from the base of the Empire State Building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82. The total height of the building is another 123 meters above the 86th floor. What is the approximate height of the building? One of your friends is on the 86th floor. What is the distance between you and your friend?
Air Navigation A plane flies 810 miles from Franklin to Centerville with a bearing of 75. Then it flies 648 miles from Centerville to Rosemount with a bearing of 32. Draw a diagram that gives a visual representation of the problem. Then find the straight-line distance and bearing from Franklin to Rosemount.
Complete the drawing so that the figure is reflected across a line l b line m
Along a straight shoreline, two houses are located at points H and M. The houses are 5000 feet apart. A small island lies in view of both houses, with angles as indicated. Find mI.
Albert lives in New Orleans. At noon on a summer day, the angle of elevation of the sun is 84. The window in Alberts room is 4.0 feet high and 6.5 feet wide. (Sec Figure 24.) a. Calculate the area of the floor surface in Alberts room that is illuminated by the sun when the angle of elevation of the sun is 84. b. One winter day the angle of elevation of the sun outside Alberts window is 37. Will the illuminated area of the floor in Alberts room be greater on the summer day, or on the winter day? Figure 24
Some stores use an indirect method of observation. The purpose may be for safety to avoid collisions or to foil the attempts of would-be shoplifters. In this situation, a mirror see EF in the drawing is placed at the intersection of two aisles as shown. An observer at point P can then see any movement along the indicated aisle. In the sketch, what is the measure of GEF?
To determine the angle of elevation of a star in the sky, you align the star and the top of the backboard of a basketball hoop that is 5 feet higher than your eyes in your line of vision (see figure). Your horizontal distance from the backboard is 12 feet. What is the angle of elevation of the star?
Distance at Sea From the top of a 200-ft lighthouse, the angle of depression to a ship in the ocean is 23.How far is the ship from the base of the lighthouse?
Refer to the figure below. a Find the angle opposite the longest side. b Find the area of the triangle.

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