turkey-yks 2023 Q39

turkey-yks · Other · yks-ayt Trig Graphs & Exact Values
An isosceles triangle shaped "Beware of Dog!" sign with equal length blue and red edges is hung on a rectangular garden wall with a nail at one corner as shown in the figure.
This sign, which can rotate around the nail, from the position shown in the figure
  • if rotated $75^{\circ}$ clockwise, the black edge,
  • if rotated $40^{\circ}$ counterclockwise, the blue edge,
  • if rotated $x^{\circ}$ clockwise, the red edge

becomes parallel to the top edge of the wall for the first time.
Accordingly, what is x?
A) 5 B) 10 C) 15 D) 20 E) 25 
An isosceles triangle shaped "Beware of Dog!" sign with equal length blue and red edges is hung on a rectangular garden wall with a nail at one corner as shown in the figure.

This sign, which can rotate around the nail, from the position shown in the figure

\begin{itemize}
  \item if rotated $75^{\circ}$ clockwise, the black edge,
  \item if rotated $40^{\circ}$ counterclockwise, the blue edge,
  \item if rotated $x^{\circ}$ clockwise, the red edge
\end{itemize}

becomes parallel to the top edge of the wall for the first time.

Accordingly, what is x?

A) 5
B) 10
C) 15
D) 20
E) 25
Paper Questions
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