You have been hired as a carpenter and need to measure the length of the beams that will support a roof. The building is 50 feet wide. There are three unknown angles: x, y, and z. The peak of the roof is 14.43 feet above the ceiling. This altitude is perpendicular to the ceiling. The building width is 50 feet. The side adjacent to the unknown angle x is half the width of the building. Beam (b) 14.43 feet to Building width- 50 feet,
You have been hired as a carpenter and need to measure the length of the beams that will support a roof. The building is 50 feet wide. There are three unknown angles: x, y, and z. The peak of the roof is 14.43 feet above the ceiling. This altitude is perpendicular to the ceiling. The building width is 50 feet. The side adjacent to the unknown angle x is half the width of the building. Beam (b) 14.43 feet to Building width- 50 feet,
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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Ratios
A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.
Trigonometric Ratios
Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.
Question

Transcribed Image Text:You have been hired as a carpenter and need to measure the length of the beams that will support a roof. The building
is 50 feet wide. There are three unknown angles: x, y, and z. The peak of the roof is 14.43 feet above the ceiling. This
altitude is perpendicular to the ceiling. The building width is 50 feet. The side adjacent to the unknown angle x is half
the width of the building.
Beam (b)
14.43 feet
to
Building width-50 feet

Transcribed Image Text:Part A
Determine and state the measures of all unknown angles. Round to the nearest degree.
Part b
Explain what are two different methods you may use to solve for the length of the beam.
Show your calculations using both methods.
Part C
How long is each supporting beam, b, to the nearest thousandth?
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