A special ladder used by firefighters is mounted on a hydraulic pump that permits the ladder to be rotated, tilted, and extended from a set of
controls on the fire engine. When a 70.0 kg firefighter is at the end of
the fully-extended ladder, and the ladder makes an angle of 10.0° with
the vertical, a torque of 7.08 x 10°N•m must be exerted by the ma-
chinery at the base of the ladder in order to keep the ladder from rotat-
ing. If the upward force exerted on the ladder at its base is 3.14 x 10° N,
what is the length of the ladder?