Posted by **shannon** on Monday, February 28, 2011 at 12:39am.

See the last picture at the bottom of this web page (for a pic of this exact problem).

Using ratios,

Tree height = T

15/66 = 6.33/T

15T = 512.73

T = 34.182

T = 34.182 when getting this answer from my question: to estimate the height of a tree, Dave stands in the shadow of the tree so that his shadow and the tree's shadow end at the same point. Dave is 6 feet 4 inches tall and his shadow is 15 feet long. If he is standing 66 feet away from the tree, what is the height of this tree? why was it 6.33/T (where did that come from?)

- geometrY -
**Helper**, Monday, February 28, 2011 at 12:47pm
Shannon, I'm very sorry. The set-up is wrong (1st line), but the rest is correct. I have no idea where I got that first line.

http://member.tripod.com/~BDaugherty/GCSEMaths/shapes.html

In the picture, the ratio is

T/30 = 2/3

3T = 60

T = 20

Your problem, with the corrected first line is

Using ratios,

Tree height = T

T/81 = 6.33/15

15T = 512.73

T = 34.182

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