Can you use the given information to find the exact height of the base? and show your work. If not, explain why not and what information is needed. (Info is in image below)
Can you use the given information to find the exact height of the base? and show your work. If not, explain why not and what information is needed. (Info is in image below)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you use the given information to find the exact height of the base? and show your work. If not, explain why not and what information is needed. (Info is in image below)
Transcribed Image Text:Marcus is a craftsman and artist. He uses the
knowledge he has gained as an engineering student to
create custom pieces. For his current project, he is
making a large, intricate, 3-dimensional latticework
that will be placed next to the marker which welcomes
people to his city. He has the work on the lattice
completed. It consists of two long rectangles, such that
the bottom rectangle will act as a base for the top
rectangle. Together the two rectangles are 12 feet tall.
12 ft
In order to help the latticework remain vertical, Marcus
will attach two wires to each side of the piece, and affix
them to the ground at a point that is exactly 9 feet from the
base of the artwork, as shown in the illustration. The
measure of the angle of elevation to the top of the base is
one-half the measure of the angle of elevation to the top of
the latticework.
Use this information and what you know about
trigonometric ratios and identities to help you explore the
questions below.
9 ft
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