Mathematics, 28.03.2020 02:18 Esmail
A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is moving away from the wall at a rate of 1 foot per second.
A) How fast is the top of the ladder moving down the wall when the base of the ladder is 8 feet from the wall?
B)Find the rate at which the angle theta between the ladder and the wall of the building is changing when the base of the ladder is 8 feet from the wall.
C) A right triangle is formed by the ladder, the wall, and the ground. How fast is the area of this triangle changing when the base of the ladder is 8 feet from the wall?
Answers: 2
because it is a right angle triangle.
. When b = 8, then 
.
. Differentiating w.r.t t, 
,
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A ladder 16 feet long is leaning against the wall of a tall building. The base of the ladder is movi...
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