3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are embedded in rock, and the bridge buckles upward and forms an arc of a circle for which the original bridge is a chord. Determine the approximate distance moved by the center of the bridge.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 24E: A calendar is determined by using each of the 12 faces of a regular dodecahedron for one month of...
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2. A man places his lawn sprinklers at the vertices of a triangle that has
sides of 9 ft, 10 ft, and 11 ft, respectively. The patterns of the water
sprinklers are circular with radii of 4 ft, 5 ft, and 6 ft, and no area is
watered by more than one sprinkler. Calculate the amount of area inside
the triangle that is not watered by any of the three sprinklers, State the
answer to the nearest thousandth of square feet.
3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the
ends of the bridge are embedded in rock, and the bridge buckles upward
and forms an arc of a circle for which the original bridge is a chord.
Determine the approximate distance moved by the center of the bridge.
Transcribed Image Text:2. A man places his lawn sprinklers at the vertices of a triangle that has sides of 9 ft, 10 ft, and 11 ft, respectively. The patterns of the water sprinklers are circular with radii of 4 ft, 5 ft, and 6 ft, and no area is watered by more than one sprinkler. Calculate the amount of area inside the triangle that is not watered by any of the three sprinklers, State the answer to the nearest thousandth of square feet. 3. During the heat of the day, the 100-foot bridge expands 1 inch. Now, the ends of the bridge are embedded in rock, and the bridge buckles upward and forms an arc of a circle for which the original bridge is a chord. Determine the approximate distance moved by the center of the bridge.
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