Triangle ABC has side AC= 4 meters and angle BAC= 32º. Square ABDE shares a side with ABC and has side length 5 meters. a. What is the total area of the triangle and square? b. You construct a pyramid to serve as the tomb of your great great grandmother, Patricia III of Tallahassee. She was a modest woman who only requested for her tomb to have a volume of 40m^3. What must the height of your grandmother’s tomb be in order to honor her wish?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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  1. Triangle ABC has side AC= 4 meters and angle BAC= 32º. Square ABDE shares a side with ABC and has side length 5 meters.

a. What is the total area of the triangle and square?

b. You construct a pyramid to serve as the tomb of your great great grandmother, Patricia III of Tallahassee. She was a modest woman who only requested for her tomb to have a volume of 40m^3. What must the height of your grandmother’s tomb be in order to honor her wish?

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