Two trees stand side-by-side. The shorter tree is four feet tall. Its shadow is 9 feet long. The taller tree is eighteen feet tall. How long is its shadow?

4.5 feet

8 feet

23 feet

40.5 feet

Question

Two trees stand side-by-side. The shorter tree is four feet tall. Its shadow is 9 feet long. The taller tree is eighteen feet tall. How long is its shadow?

 4.5 feet

 8 feet

 23 feet

 40.5 feet

mlgpro · Answer

@JuniorEinstein1 this has 2 answers

anonymous · Answer

hese will form two similar triangles
so ratios of 2 heights = ratio of the 2 shadows
4 / 18 = 9 / x
solve for x

anonymous · Answer

cross multiply:
4x = 9*18
4x = 162

can you continue?

mlgpro · Answer

the 2 formulas are 
x+4=9 x=5

x*4=9 x=2.25

anonymous · Answer

i just told what u need to do

mlgpro · Answer

i didnt see sorry

anonymous · Answer

im not gunna give you the answer becasue CoC wont allow me

mlgpro · Answer

i do it

mayankdevnani · Answer

|dw:1407082447005:dw|
tan theta is constant.
so use tan theta
$$\huge \bf \tan \theta=\frac{4}{9}=\frac{18}{x}$$
so solve for x