SOLUTION: 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 fo

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 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 fo      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1125351: 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.)
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
------------------------------------------------------------------------------
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.)
-----------------------------------------------------------------------------

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%2F6=80%2F4
h=80%2A6%2F4
h=20%2A6
highlight%28h=120%29