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1.) ME is the unknown_ 2.) MN is the length of the shadow of the_ 3.)_ 4.) TN is the length of the_ _of the pyramid. Lis the height of a vertical post. of the vertical post.

1.) ME is the unknown_ 2.) MN is the length of the shadow of the_ 3.)_ 4.) TN is the length of the_ _of the pyramid. Lis the height of a vertical post. of the vertical post.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
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Indirect Measurement It has been believed that the first person to determine the difficult-to-obtain heights without the aid of a measuring tool existed even before Christ, from 624 – 547 BC. The Greek mathematician Thales determined the heights of pyramids in Egypt by the method called shadow reckoning. The activity that follows is a version of how Thales may have done it. Image by Dreamstime https://www.dreamstime.com The sun shines from the western part of the pyramid and casts a shadow on the opposite side. 17 GRADE 9 Learning Module for Junior High School Mathematics Analyze the figure and answer the following questions. 1.) ME is the unknown_ 2.) MN is the length of the shadow of the 3.) is the height of a vertical post. 4.) TN is the length of the_ _of the pyramid. of the vertical post. 5.) Which of the following can be measures directly with the use of a measuring tool? If it can be measured directly, write YES, otherwise, write NO. Lengths Answer Lengths Answer МЕ MN AT TN
Transcribed Image Text:Indirect Measurement It has been believed that the first person to determine the difficult-to-obtain heights without the aid of a measuring tool existed even before Christ, from 624 – 547 BC. The Greek mathematician Thales determined the heights of pyramids in Egypt by the method called shadow reckoning. The activity that follows is a version of how Thales may have done it. Image by Dreamstime https://www.dreamstime.com The sun shines from the western part of the pyramid and casts a shadow on the opposite side. 17 GRADE 9 Learning Module for Junior High School Mathematics Analyze the figure and answer the following questions. 1.) ME is the unknown_ 2.) MN is the length of the shadow of the 3.) is the height of a vertical post. 4.) TN is the length of the_ _of the pyramid. of the vertical post. 5.) Which of the following can be measures directly with the use of a measuring tool? If it can be measured directly, write YES, otherwise, write NO. Lengths Answer Lengths Answer МЕ MN AT TN
6.) Why is the height of the pyramid difficult to measure using a measuring too? 7.) Like the post, the height of the pyramid is also vertical. What can you conclude about_ME and AT? 8.) If ME || AT, what can you say about AE and AAT? 9.) What theorem justifies your answer? 10.) The figure is not drawn to scale. Which of the following situations is true or false? If the length of the shadow of the pyramid is greater than the height of the pyramid, the possibility is that True or False? the measurement of the shadow was done early in the morning early in the afternoon late in the morning late in the afternoon 11.) If MN = 80 ft., NT = 8 ft., and AT = 6 ft, what is the height of the pyramid in this activity? E
Transcribed Image Text:6.) Why is the height of the pyramid difficult to measure using a measuring too? 7.) Like the post, the height of the pyramid is also vertical. What can you conclude about_ME and AT? 8.) If ME || AT, what can you say about AE and AAT? 9.) What theorem justifies your answer? 10.) The figure is not drawn to scale. Which of the following situations is true or false? If the length of the shadow of the pyramid is greater than the height of the pyramid, the possibility is that True or False? the measurement of the shadow was done early in the morning early in the afternoon late in the morning late in the afternoon 11.) If MN = 80 ft., NT = 8 ft., and AT = 6 ft, what is the height of the pyramid in this activity? E
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