A 3-foot child standing 10 feet from a streetlight casts a 8-foot shadow. Two similar triangles are formed. One triangle is formed by the person and the shadow that the person casts. A second triangle is formed by the streetlight and the ground from the base of the streetlight to the end of the shadow. The street light is times taller than the child.

6/15=height of lamp/(15+15); 6/15=height of lamp/30; height of lamp=(30/15)6=2×6, 2 times taller.

(Lamp is 12 feet tall)

Step-by-step explanation:

The total length between the base of the lamp and the end of the shadow = 10 + 20 = 30

Height of the lamp = x

Height of the person = 6

length of the shadow = 10

Pole height / total length = person height / shadow length

x / 30 = 6/ 10

x = 18 feet.

Step-by-step explanation:

step-by-step explanation:

answer:

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