Laura bernett is 5 ft-4 inches tall. she stands 12 feet from a streetlight and casts a 9-foot-long shadow. how tall is the streetlight?

The ratio of the height (h) of the streetlight to its distance to the end of Laura's shadow is the same as the ratio of Laura's height to her distance from the end of her shadow.

... h / (12+9) = 5'4"/9

... h = (21/9) * 5'4" = 12 4/9 feet

... h = 12 ft 5 1/3 inches

The streetlight is 12 ft 5 1/3 inches tall.