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KATRIN_1 [288]
3 years ago
5

A vertical pole 5 feet long casts a shadow of 2 feet.if at the same time a nearby tree casts a shadow of 10 feet, how tall is th

e tree? Please show work
Mathematics
1 answer:
ohaa [14]3 years ago
7 0
We use the proportion for this case the pole and the tree with their shadows has the same shape forming a right triangle.
We use the ratio of the two triangles and equate them as

h1/s1 = h2/s2

where
h1 and s1 are the height and the length of a shadow of the pole,
and the other h2 and s2 are for the tree

Identify all the given values.
5 ft / 2 ft = (h2) / 10 ft
h2 = 25 ft
Therefore the height of the tree "h2" is 25 ft.
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