A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the base of the wall at aspeed of 2 fts, how fast is the angle between the ladder andthe wall changing when the bottom of the ladder is 6 ftfrom the base of the wall?

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
Section5.4: The Pythagorean Theorem
Problem 15E: A guy wire 25 ft long supports an antenna at a point that is 20 ft above the base of the antenna....
Question

A ladder 10 ft long leans against a vertical wall. If the bottom of the ladder slides away from the base of the wall at a
speed of 2 fts, how fast is the angle between the ladder and
the wall changing when the bottom of the ladder is 6 ft
from the base of the wall?

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