The chief police officer may establish diagonal parking at certain places, requiring the parking of vehicles at a certain angle to the curb and within a certain portion of the adjacent roadway. However, diagonal parking shall not be established where the roadway space required would be within ten feet of the centerline of any street. The chief police officer shall designate such places by suitable signs, and shall indicate by markings on the pavement the required angle and the width of the roadway space within which such vehicle shall park.