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what- a ladder rests against a building at an angle as shown, with endpoints (-2,0 ) and (0,8). what is the slope of the ladder?
4
A ladder of length 5m rests against a wall The foot of the ladder is 1.7m from the base of the wall How far up the wall does the ladder reach?
6.7
A ladder long rests against a vertical wall If the top of the ladder slides down at a rate of how fast is the bottom of the ladder sliding away when the bottom of the ladder is away from the wall?
If h is vertical height, b=horizontal distance from wall to bottom of ladder and l=lenght of ladder,we can say lsquared = hsquared + b squared. Now differentiate w.r.t. time t. 2l*dl/dt= 2h* dh/dt + 2b*db/dt =0 However this solution doesn't give exactly the same answer when one solves the problem geometrically or using simple pythagorus. For example ,if l=20m and b=12 m and h=16m and db/dt is 2m/s, I calculate dh/dt as !.5 m/s using calculus but 1.717 m/s using geometry or straight Pythagorus. Where is the fallasy inthe method using calculus? Ray Bevan
9.0 m ladder rests against the side of a wall the bottom of the ladder is 1.5 m from thebase wall derter the measure of the angle between the ladder and the ground to the nearest degree?
Oh honey, we've got ourselves a classic right triangle situation here. Using some good ol' trigonometry, you can find that the angle between the ladder and the ground is approximately 83 degrees. Just remember, math may not be your friend, but it's definitely not your enemy either.
Where can you purchase foot rests from?
Foot rests can be bought in a variety of places. One can buy them at furniture stores, home improvement stores, and home supply stores. One may also find foot rests through online retailers.
