7. A 3.6 m ladder is leaning against a wall, with its base 2 m from the wall. a) Draw a scale diagram to represent this situation. b) Suppose that a 2.4 m ladder is placed against the wall, parallel to the longer ladder. Explain why the triangles that are formed by the ground, the wall, and the two ladders are similar. c) How far up the wall will each ladder reach?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.CR: Review Exercises
Problem 41CR
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7. A 3.6 m ladder is leaning against a wall, with its base 2 m from the wall.
ca) Draw a scale diagram to represent this situation.
b)
Suppose that a 2.4 m ladder is placed against the wall, parallel
to the longer ladder. Explain why the triangles that are formed
by the ground, the wall, and the two ladders are similar.
c) How far up the wall will each ladder reach?
Transcribed Image Text:7. A 3.6 m ladder is leaning against a wall, with its base 2 m from the wall. ca) Draw a scale diagram to represent this situation. b) Suppose that a 2.4 m ladder is placed against the wall, parallel to the longer ladder. Explain why the triangles that are formed by the ground, the wall, and the two ladders are similar. c) How far up the wall will each ladder reach?
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