How Do You Prove Two Triangles Are Similar?

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To prove two triangles are similar, one must demonstrate that their corresponding angles are equal or that their sides are in proportion. The discussion highlights a specific problem involving two triangles related to the heights of poles. The solution involves solving for an unknown variable in terms of the given height. Ultimately, the participant successfully solved the problem after some initial confusion. Understanding the criteria for triangle similarity is crucial for solving such geometric problems.
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Homework Statement
From P the angle of elevation to the top of Pole B is 30 degrees. Find h, the height of the two poles.
Relevant Equations
Unsure
I have tried multiple methods to solve this but have been unsuccessful at every attempt.

The apparent correct answer is:
 

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Can you show that the two triangles are similar?
 
As I understand the problem, the heights of the two poles are both h. x is an unknown that you need to solve for in terms of h. That should then be of some help to you.
 
hutchphd said:
Can you show that the two triangles are similar?
Yes
 
hutchphd said:
Can you show that the two triangles are similar?
Thanks I solved it. Heh it missed my eye.
 
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