Posted by **boom** on Thursday, March 18, 2010 at 8:41am.

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

- 10th grade (geometry) -
**drwls**, Thursday, March 18, 2010 at 8:56am
Please indicate subject, not grade level. That will help increase the chances that the appropriate teacher reads your question.

Because of similar-triangle geometry rules, the ratio of shadow length to the height of the object casting the shadow is a constant. If the tree height is x,

25/x = 9/6

Solve for x.

- 10th grade -
**trips**, Saturday, February 5, 2011 at 1:12pm
37.5

- 10th grade -
**Mo**, Thursday, April 14, 2011 at 1:29pm
Its 47 feet.

- 10th grade -
**Anonymous**, Tuesday, June 21, 2011 at 7:26pm
what?

- 10th grade -
**Shail**, Wednesday, August 31, 2011 at 9:12am
25/9=x/6

...

(25*2)/3

=50/3

=16.666666..... feet!

- 10th grade -
**Shail**, Wednesday, August 31, 2011 at 9:14am
The ques tion is wrong...

it ain't 26/x=9/6

its 25/9=x/6

- 7th grade -
**Andrew**, Tuesday, January 31, 2012 at 7:40pm
37.5

- 10th grade -
**Joyce**, Wednesday, May 30, 2012 at 1:18pm
A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the approximate height of the tree to the nearest foot?

25/x = 9/6 (where 25 is the tree's shadow, x is the unknown height of the tree, 9 is the man's shadow and 6 is the man's height)

solve for x

cross multiply 25(6) = (9)x

150 = 9x

x = 150/9

do the division

x = 16.6

the tree is 16.6 feet or about 17 feet tall

- 10th grade -
**Anonymous**, Monday, November 12, 2012 at 9:02am
A tree that is 100 feet tall casts a shadow that is 150 feet long. Determine the angle at which the rays of the sun hit the ground, to the nearest degree.

- 7th grade -
**Emma**, Friday, November 16, 2012 at 6:44am
9.75 feet

- 10th grade -
**mary**, Thursday, June 19, 2014 at 5:57pm
Math is shhhittt

- 10th grade -
**nithya**, Wednesday, September 24, 2014 at 11:57am
i want an answer of this...plz help me... a vertical stick of 30m long casts a shadow 15m long on the ground. at the same time a tower casts a shadow 75 m long on the ground. what is the height of the tower?

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