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The Muttart Conservatory has four pyramids. Two pyramids have a square base with sides 20.5 m long. They are 19.0 m high. 27.577... Length of AP: 2 To get ZHAP: cos

The Muttart Conservatory has four pyramids. Two pyramids have a square base with sides 20.5 m long. They are 19.0 m high. 27.577... Length of AP: 2 To get ZHAP: cos

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 34A
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The Muttart Conservatory has four pyramids. Two pyramids have a square base with sides 20.5 m long. They are 19.0 m high. B 18.0 m = = 13.788..., or 13.788... m 13.788... 18.0 19.5 m A Judy calculated the angle of elevation of each face of the pyramid. Is her solution reasonable? AB²+ BC² = AC² 19.5² +19.5² = AC² 27.577... = AC, or AC = 27.577... m AP is half of AC. 27.577... H Length of AP: To get ZHAP: cos CHAP The angle of elevation is about 40°. a) Was the length Judy calculated for AC reasonable? Explain. , or 40.001...º D 19.5 m b) Did Judy use the correct trigonometric ratio? Explain. c) Was Judy correct to determine ZHAP? Explain.
Transcribed Image Text:The Muttart Conservatory has four pyramids. Two pyramids have a square base with sides 20.5 m long. They are 19.0 m high. B 18.0 m = = 13.788..., or 13.788... m 13.788... 18.0 19.5 m A Judy calculated the angle of elevation of each face of the pyramid. Is her solution reasonable? AB²+ BC² = AC² 19.5² +19.5² = AC² 27.577... = AC, or AC = 27.577... m AP is half of AC. 27.577... H Length of AP: To get ZHAP: cos CHAP The angle of elevation is about 40°. a) Was the length Judy calculated for AC reasonable? Explain. , or 40.001...º D 19.5 m b) Did Judy use the correct trigonometric ratio? Explain. c) Was Judy correct to determine ZHAP? Explain.
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