A ladder 23 feet long is leaning against the wall of a house.The base of the ladder is pulled away from the wall at a rate of 4 feet per second. where x is the base , and y is the wall find the area of the right triangle as a function of x. find tan(theta)as a function of x and y. find the rate of change of theta with respect to t.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 14P
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A ladder 23 feet long is leaning against the wall of a house.The base of the ladder is pulled away from the wall at a rate of 4 feet per second. 
where x is the base , and y is the wall

find the area of the right triangle as a function of x.

find tan(theta)as a function of x and y.

find the rate of change of theta with respect to t.

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