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=42 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 44E
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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=42 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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bearm
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= 42 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?
%3D
h
20 f1
20 ft
40 ft
Transcribed Image Text:New bearm 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= 42 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? %3D h 20 f1 20 ft 40 ft
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