Aperson standing 20 feet from a street light casts a shadow as shown. how many times taller is the streetlight than the person? assume the triangles are similar.

Using the concept of similar triangles to calculate the scale factor, the height of the streetlight is 3 times the height of the person.

Length of shadow cast = 10 feets

Height of person = 6 feets

Distance of person from streetlight light = 20 feets

Since the triangles are similar :

Comparing the length of both triangles :

The scale factor is :

Using the scale factor ; the height of the streetlight will be :

Height of streetlight = 18 feets

Height of person = 6 feets

Therefore, the streetlight is (18/6 = 3) 3 times the height of the person.

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1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x

just sum

10 + 10 = 20