A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow. Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?