Posted by boom on Thursday, March 18, 2010 at 8:41am.
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.
37.5
Its 47 feet.
what?
25/9=x/6
...
(25*2)/3
=50/3
=16.666666..... feet!
The ques tion is wrong...
it ain't 26/x=9/6
its 25/9=x/6
37.5
37.5
7
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
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.
9.75 feet
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