Geometry...trig word problem

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MathMk

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Alex is making a stained glass window. She needs to split the window into two triangles to make two different colours. If she splits the square window into two equal triangles, what is the length of the diagonal if the adjacent side is 14.2 feet, and the angle of elevation is 45 degrees?
 
MathMk said:
Alex is making a stained glass window. She needs to split the window into two triangles to make two different colours. If she splits the square window into two equal triangles, what is the length of the diagonal if the adjacent side is 14.2 feet, and the angle of elevation is 45 degrees?
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Hint: Sketch the square window and the proposed triangles.

Please share your work/thoughts about this assignment.
 
MathMk said:
Alex is making a stained glass window. She needs to split the window into two triangles to make two different colours. If she splits the square window into two equal triangles, what is the length of the diagonal if the adjacent side is 14.2 feet, and the angle of elevation is 45 degrees?
Click to expand...
Suppose that \(\displaystyle d\) is the length of the diagonal of a square in which the sides have length \(\displaystyle s\).
Then \(\displaystyle d^2=s^2+s^2=2\cdot s^2\) so \(\displaystyle d=\sqrt{2}\cdot s\) .
 
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