Problem 20
A pole 24 feet long is carried horizontally along a corridor 8 feet wide and into a second corridor at right angles to the first. How wide must the second corridor be?
Problem 21
Solve Problem 20 if the pole is of length $L$ and the first corridor is of width $C$.
Problem 16
A light is to be placed above the center of a circular area of radius a. What height gives the best illumination on a circular walk surrounding the area? (When light from a point source strikes a surface obliquely, the intensity of illumination is
$I = \dfrac{k\sin \theta}{d^2}$
where $\theta$ is the angle of incidence and $d$ the distance from the source.)
Problem 14
A wall 10 ft high is 8 ft from the house. Find the length of the shortest ladder that will reach the house, when one end rests on the ground outside the wall.