In: Math
A 10ft long ladder that is leaning against a wall is being pushed. The top of the ladder moves upward along the wall at a speed of 1.5 ft/sec. At what rate is the bottom of the ladder sliding toward the wall when the base is 6 feet from the wall? Is your answer positive or negative? Explain why the answer you got makes sense. Draw a picture of the situation and clearly label your variables.
we have
we know that,
....................... paythagoras theorm
put x =8, l=10,
now,
here l = 10 (constant)
here negative sign indicate the distance is decreases.
the rate of bottom of the ladder sliding toward the wall when the base is 6 feet from the wall is 2 ft/sec