in the sunshine, an upright pole 12 feet tall is casting a shadow 8 feet long. at the same time a nearby upright pole is casting a shadow 10 feet long. if the lengths of the shadows are proportional to the heights of the poles, what is the height in feet of the taller pole??

Question

anonymous · Answer

solve the ratio 
$$\frac{8}{12}=\frac{x}{10}$$

anonymous · Answer

one step does it
$$x=\frac{10\times 8}{12}$$

anonymous · Answer

ok

nilankshi · Answer

good

anonymous · Answer

but how do i know that isnt a triangle ques???

anonymous · Answer

is it because of the word proportional??

amistre64 · Answer

similar triangles is the key

anonymous · Answer

so it is a triangle ques

amistre64 · Answer

it is, but since they are similar triangles they have the same ration of parts

anonymous · Answer

so can u break down the equation for me please

amistre64 · Answer

where h = height and s = shadow
$$\frac{h_1}{s_1}=\frac{h_2}{s_2}$$
if you know 3 of the elements; you can find the missing piece

anonymous · Answer

Be sure to place like elements in the same spots or your porportion will be wrong

anonymous · Answer

so 8x=120
then120/8 
then 15

amistre64 · Answer

its a good thing I named them similarly then lol ;)

amistre64 · Answer

12 tall with a shadow   8 feet long
  x tall with a shadow 10 feet long

12/8 = x/10

120/8 = x
\
looks good

amistre64 · Answer

similar triangles is the key ...

anonymous · Answer

thanks for the help..!!