Friday, July 31, 2009

Can someone please help me solve this word problem?

Henry is 5 ft tall and casts a shadow that is 15 ft long. A tree next to Henry casts 324-ft long shadow. How tall is the tree?





A.18 ft


B. 972 ft


C. 108 ft


D. 1620 ft

Can someone please help me solve this word problem?
ok the answer is 108 ft but here's how you do this





first you set up Henry's heigth and shadow heigth in a fraction: 5/15


then you set up the tree's heigth (X) and shadwo heigth in a fraction as well: X/324





then you set up the 2 frations into a ratio: 5/15 = X/324


after that, you cross multiply (5 x 324 and X x 15)


next you take the 15x and divide the 15 outta it to just get X and you divide the product of 5 x 324 by 15 to get the final number. hope this helps!
Reply:This is just similar triangles.


so:





5/15 = x/324





You should be able to solve this now.
Reply:c.... 108 ft tall.....
Reply:C - 108FT.
Reply:All you have to do is draw it out and it's 2 triangles. So you compare 5:15 and then x:324 which should look like this


5/15 = x/324 So you cross multiply 5x324=15x


So you multiply 5 and 324 and get 1620=15x


Then solve for x by dividing each side by 15 108=x


Your answer is then c.


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