A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel support beam h = 47 feet in length is positioned in the center of the garage. To support the roof, another beam will be attached to the top of the center beam (see the figure). At what angle of elevation is the new beam? In other words, what is the pitch of the roof?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter6: Circles
Section6.3: Line And Segment Relationships In The Circle
Problem 45E
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A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel support
beam h = 47 feet in length is positioned in the center of the garage. To support the roof, another beam
will be attached to the top of the center beam (see the figure). At what angle of elevation is the new
beam? In other words, what is the pitch of the roof?
Transcribed Image Text:A carpenter is preparing to put a roof on a garage that is 20 feet by 40 feet by 20 feet. A steel support beam h = 47 feet in length is positioned in the center of the garage. To support the roof, another beam will be attached to the top of the center beam (see the figure). At what angle of elevation is the new beam? In other words, what is the pitch of the roof?
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