You observe that a wall of a building is leaning in and are taking action to prevent any further leaning. To brace the wall, you place a 15-foot wooden beam that the beam contacts the ground 9 feet from the base of the wall. The angle of elevation from the ground to the beam is 44 degrees. Once braced, you notice that the wall, beam, and ground form an acute triangle. a.) Draw this triangle and include all labels. b.) How far up the wall does the beam meet the wall? (This is measured diagonally as the wall is leaning; not vertically.) Round to one decimal place. c.) At what angle is the wall leaning? Round to one decimal place.
You observe that a wall of a building is leaning in and are taking action to prevent any further leaning. To brace the wall, you place a 15-foot wooden beam that the beam contacts the ground 9 feet from the base of the wall. The angle of elevation from the ground to the beam is 44 degrees. Once braced, you notice that the wall, beam, and ground form an acute triangle. a.) Draw this triangle and include all labels. b.) How far up the wall does the beam meet the wall? (This is measured diagonally as the wall is leaning; not vertically.) Round to one decimal place. c.) At what angle is the wall leaning? Round to one decimal place.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 35E
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You observe that a wall of a building is leaning in and are taking action to prevent any further
leaning. To brace the wall, you place a 15-foot wooden beam that the beam contacts the ground 9 feet from the base of the wall. The angle of elevation from the ground to the beam is 44 degrees. Once braced, you notice that the wall, beam, and ground form an acute triangle.
a.) Draw this triangle and include all labels.
b.) How far up the wall does the beam meet the wall? (This is measured diagonally as the wall is
leaning; not vertically.) Round to one decimal place.
c.) At what angle is the wall leaning? Round to one decimal place.
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