A 16-ft ladder is placed 4-ft from the base of the building. How high on the building will the ladder reach?

Answer 1

4^2 + h^2 = 16^2

h^2 = 256 - 16 = 240 = 16*15

h = 4 sqrt 15

h = 15.5

Answer 2

Sketch the graphs of f(x) = x^2 and g(x) = 2x. Find a number a between 0 and 2 so that when the region between the graphs of f and g for 0 <= x <= a is revolved about the y-axis, the volume of the solid produced is 7pia3/12 . Please show all work