Problema Solution
Safety rules indicate that a ladder placed against a building should never be further away from the building than 1/4 of the ladder length being used. Find the least allowable angle between the ground and a ladder according to safety rules.
Answer provided by our tutors
let
A = the angle between the ground and a ladder
x = the distance between the ladder and the building
4x = the length of the ladder
if the ladder is placed closer to the building the angle gets increased thus we want to find A when:
sin A = x/4x
sin A = 1/4
A = arcsin (1/4)
A = 14.48 degrees
the least allowable angle between the ground and a ladder is 14.48 degrees.