Simple square angle?

Geometry Level 3

Let the angle be shown be denoted as θ \theta .

What is sin ⁡ θ \sin \theta ?


The answer is 0.1.

Αλέξανδρος Μυλωνάς by Αλέξανδρος Μυλωνάς , 20, Greece

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2 solutions

Ratul Pan
Mar 26, 2016

Well let the side of square be 2x .
Supposing E as midpoint ,
DE is x
Let angle DAE be y
t a n y = x 2 x = 1 2 = 0.5 tan y =\frac{x}{2x}=\frac{1}{2}=0.5
y =26.565
angle CAE =angle CAD -angle DAE
or, angle CAE =45-26.565=18.435


1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ahmad Saad
Mar 26, 2016

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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