A 50-foot ladder leans against a wall so that it is 30 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 40 – 2x be the distance from the base of the - ladder to the wall.) 2x The top of the ladder is feet higher now.

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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A 50-foot ladder leans against a wall so that
it is 30 feet high at the top. The ladder
is moved so that the base of the ladder travels
toward the wall twice the distance that the top
of the ladder moves up. How much higher is
the top of the ladder now? (Hint: Let
40 – 2x be the distance from the base of the
ladder to the wall.)
2
2x
The top of the ladder is
feet higher now.
Transcribed Image Text:0 o A 50-foot ladder leans against a wall so that it is 30 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 40 – 2x be the distance from the base of the ladder to the wall.) 2 2x The top of the ladder is feet higher now.
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