Statics and use of similar triangles

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Can you show that the triangles are similar? I can't.

Are the two vertical lines supposed to be parallel? That would help with the two θ's at the bottom of the figure.

p.s. Welcome to Physics Forums :smile:
 


If the lines that look perpendicular are and the lines that look horizontal or vertical are, think about the geometry theorem that says two angles with corresponding sides perpendicular are equal. (Assuming you pick the correct angle, not its supplement. :wink:).