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 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?

Question

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 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?

anonymous · Answer

the ladder starts to fall down

kc_kennylau · Answer

That side is not 16

kc_kennylau · Answer

You might want to let t seconds be the time passed

kc_kennylau · Answer

And then express the distance from the top of the ladder to the bottom of the wall in terms of t