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1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in Quadrilateral ABCD are right angles. Points W, X, Y, and Z are the points of tangency. Find each of the following. W o° a. mZW b. MWXZ

1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in Quadrilateral ABCD are right angles. Points W, X, Y, and Z are the points of tangency. Find each of the following. W o° a. mZW b. MWXZ

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.2: The Law Of Cosines
Problem 3E
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eBoard R. O 2015 College Board. All rights reserved. Circles VERTIGO ROUND Embedded Assessment Use after Activity 25 The renowned architect and graduate of the MIU School of Design, Drew Atower, designed a hotel, all of whose floors spin on a circular track. As it spins, each floor pauses every 45°. (Otherwise, getting on and off the elevator would be tricky.) The figure below shows an overhead view of one of the square floors and its circular track. Points A, B, C, and D are located at each of the four corners of the building. AO bisects ZW. Z, O, and X are collinear. A, O, and C are collinear. 1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in Quadrilateral ABCD are right angles. Points W, X, Y, and Z are the points of tangency. Find each of the following. A B. a. mZW b. mWXZ 2. Draw AX and label the point of intersection with the circle as point M. If mZM = 53°, find mZAXB. %3D 3. Draw AC and radius OX. Find each of the following. b. MZOXA C. ZCAX intercepts two arcs. Find their measures. When the building rotates 45°, the corner that was located at point A is now located at point E. Points P, Q, R, and S are the points of tangency. 4. Draw PS and RZ. Find the measure of the angles formed by PS and RZ. E. --В A. Q. F. H. 5. A circular stained glass and wrought iron window is to be installed above the front entrance. One of the stained glass window designs being considered has a radius of 90 cm and several wrought iron chords each 60 cm long. How far are the chords from the center of the circle? Draw a diagram and show your work. Unit 4 Circles, Coordinates, and Constructi
Transcribed Image Text:eBoard R. O 2015 College Board. All rights reserved. Circles VERTIGO ROUND Embedded Assessment Use after Activity 25 The renowned architect and graduate of the MIU School of Design, Drew Atower, designed a hotel, all of whose floors spin on a circular track. As it spins, each floor pauses every 45°. (Otherwise, getting on and off the elevator would be tricky.) The figure below shows an overhead view of one of the square floors and its circular track. Points A, B, C, and D are located at each of the four corners of the building. AO bisects ZW. Z, O, and X are collinear. A, O, and C are collinear. 1. The circular track is tangent to each side of Quadrilateral ABCD, and all of the angles in Quadrilateral ABCD are right angles. Points W, X, Y, and Z are the points of tangency. Find each of the following. A B. a. mZW b. mWXZ 2. Draw AX and label the point of intersection with the circle as point M. If mZM = 53°, find mZAXB. %3D 3. Draw AC and radius OX. Find each of the following. b. MZOXA C. ZCAX intercepts two arcs. Find their measures. When the building rotates 45°, the corner that was located at point A is now located at point E. Points P, Q, R, and S are the points of tangency. 4. Draw PS and RZ. Find the measure of the angles formed by PS and RZ. E. --В A. Q. F. H. 5. A circular stained glass and wrought iron window is to be installed above the front entrance. One of the stained glass window designs being considered has a radius of 90 cm and several wrought iron chords each 60 cm long. How far are the chords from the center of the circle? Draw a diagram and show your work. Unit 4 Circles, Coordinates, and Constructi
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