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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.

1 Answer

3 votes
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
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