Question 1125351
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A tree casts a shadow x = 80 ft long when a vertical rod 6.0 ft high casts a shadow 4.0 ft long. (See the illustration.) How tall is the tree? (Round your answer using the rules for working with measurements.)
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These are similar triangles formed, which the illustration missing from the post, would show.


TREE
shadow on ground, 80 feet
height, unknown h.


VERTICAL ROD
shadow on ground, 4 feet
height, 6 feet


The two triangles, similar, would make a right angle where each object at the bottom meets its shadow.


{{{h/6=80/4}}}

{{{h=80*6/4}}}

{{{h=20*6}}}

{{{highlight(h=120)}}}