Pat Fowler, an industrial spy employed by Sir Jason Fox of Femina Cosmetics, is arrested in Paris for attempting to sell the formula for a new deodorant to a rival firm owned by Matt Cutter. The arrest is actually a ruse concocted by Sir Jason to trick Cutter into hiring Pat. The scheme works, and Pat sets out to steal the secret formula for a spray that prevents hair from getting wet even when under water. The spray is the invention of the eccentric Dr. Stuart Clancy, Cutter's top cosmetician. Also involved in the espionage is Christopher White, a double agent who lures Pat to his apartment, drugs her, and tape records all she knows about Sir Jason's enterprises. He also learns that Pat's father, an Interpol agent, was shot to death on a Swiss ski slope while on the trail of a narcotics ring. Upon discovering that all of Clancy's preparations are actually formulated in Switzerland by his mother-in-law, Madame Piasco, Pat flies there and steals a vial of the hair spray from the woman's cosmetics shop. Afterwards, she goes skiing on the slope where her father was killed and is saved from a similar fate by Christopher, who comes to the rescue in a helicopter. Now certain that Clancy is her father's murderer, Pat confides in Christopher and learns that he is her father's Interpol replacement. After uncovering evidence which proves that Sir Jason and Clancy are concealing narcotics in a brand of face powder which the innocent Cutter retails, Pat is trapped by a menacing scrubwoman--Clancy in disguise. Clancy meets his own death when he tries to kill Pat. But Pat is again trapped, this time by Sir Jason, who forces her into a waiting helicopter. When it takes off, Christopher fires a shot and kills Sir Jason. His body falls from the open helicopter, and the terrified Pat is left alone in the cockpit. Miraculously she manages to fly to Paris and makes a 2-point landing on top of the Eiffel Tower. Scrambling out of the plane, she races into the arms of the waiting Christopher.
