Sunday, February 26, 2017

College Algebra, Chapter 1, 1.3, Section 1.3, Problem 102

A 1912 foot ladder leans against a building. The base of the ladder is 712ft from the building. How high up the building does the ladder reach?









By using Pythagorean Theorem,


(712)2+h2=(1912)2(152)2+h2=(392)22254+h2=15214Subtract 2254h2=152142254h2=324Take the square rooth=±324Solve for hh=18 and h=18Choose h>0h=18ft

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