a ladder of length 4m lean against a vertical wall. the foot of the ladder is 2 meter from the wall. a plank that has a length of 5metre rests on a ladder so that one end half way up ladder.

a. how high is the top of a ladder?
b. how high is the top of plank?
c. how far is the motion of the plank from the wall?

1 answer

Did you draw a diagram?
Did you review the Pythagorean Theorem?
(a) 2^2 + h^2 = 4^2
(b) h/2
(c) I have no idea what the "motion" of the plank is, but ifs top is 1 m from the wall, so if its base is x meters from the wall,
(x-1)^2 + (h/2)^2 = 5^2