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? New beam 20 1t 10 t 40 t The angle of elevation of the new beam is (Do not round until the final answer. Then round to one decimal place as needed.)

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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I know you guys can only answer up to 3 questions, so i only put two in this one.

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?
New
beam
20 1t
20 ft
40 ft
The angle of elevation of the new beam is.
(Do not round until the final answer. Then round to one decimal place as needed.)
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 = 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? New beam 20 1t 20 ft 40 ft The angle of elevation of the new beam is. (Do not round until the final answer. Then round to one decimal place as needed.)
A funicular carries passengers up an embankment to an observation point. If the length of the track is 59.2 meters and the angle of inclination is 41°7', determine the
height of the embankment.
The embankment is meters high.
(Round to two decimal places as needed.)
Transcribed Image Text:A funicular carries passengers up an embankment to an observation point. If the length of the track is 59.2 meters and the angle of inclination is 41°7', determine the height of the embankment. The embankment is meters high. (Round to two decimal places as needed.)
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