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Mathematics 21 Online
OpenStudy (anonymous):

in the diagram below, a 5 foot tall girl is standing 24 feet from a lamp post at night. if her shadow from the light is 8 feet long, what is the height of the lamp post?

Mehek (mehek14):

diagram?

OpenStudy (anonymous):

@Mehek14 there is a picture of the problem

Mehek (mehek14):

can you attach it for me?

OpenStudy (anonymous):

@Mehek14

Mehek (mehek14):

so the shadow o the lam would be 24 +8 = 32 the shadow of the girl is 8

Mehek (mehek14):

lamp*

OpenStudy (anonymous):

@Mehek ok

OpenStudy (anonymous):

@Mehek14 ok so far

OpenStudy (anonymous):

You set up a proportion which is X/24 =5/8 and you solve and get 8x=120 and you get 15

Mehek (mehek14):

\(\Large \dfrac{x}{32} {*}\dfrac{5}{8}\)

Mehek (mehek14):

so you cross multiply

OpenStudy (anonymous):

Did you get how I got that

OpenStudy (anonymous):

@Mehek14 is that it?

Mehek (mehek14):

32 x 5 = 160 160 / 8 = 20

Mehek (mehek14):

x = 20

Mehek (mehek14):

that's it

Mehek (mehek14):

@amycb12

OpenStudy (anonymous):

@Mehek thank you so much

Mehek (mehek14):

yw :)

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