Posted by **karin** on Sunday, November 4, 2012 at 1:20am.

if you are 6 ft tall and cast a 90" shadow and are standing 70" from a lamp how tall is the lamp

- math -
**Steve**, Sunday, November 4, 2012 at 1:39am
since 6' = 72 inches, if the lamp is x inches tall,

x/(70+90) = 72/90

x = 128

- math -
**karin**, Sunday, November 4, 2012 at 2:01am
can you further explain the part where you stated...

x/(70+90)=72/90

when I take 72/90 I get .8

I must be missing something here...

- math -
**Steve**, Sunday, November 4, 2012 at 2:50am
draw a diagram. Two ratios are the same

lamp height:distance to shadow tip

person height:length of shadow

so,

x/160 = .8

x = 128

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