Given a building standing 400 feet tall, a tree 190 feet from the building, and another point 10 feet from the tree. Find the height of the tree.

Respuesta :

For this case we can model the problem as two similar rectangle triangles.
 We then have to simulate triangles:
 [tex]x / 400 = 10 / (10 + 190) [/tex]
 Rewriting we have:
 [tex]x / 400 = 10 / (200) [/tex]
 From here, we clear the value of x:
 [tex]x = (10 / (200)) * (400) x = 20 feet[/tex]
 Answer:
 
the tree is 20 feet tall
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