Question

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.

Answer 1

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