Find angle.

Question

ABCD is a square of side 10. 

 

CE=6

<CEA=154

 

Find <EAB. Round your answer to 1 decimal place. 

Hint: find AC first.

 

Photo of the diagram:

https://hishsaka.smugmug.com/Math/i-7xBCXBF/A

(apologies for it being upside down)

 

Answer 1

I will assume that point E is inside the square.    The length of diagonal AC is 10 sqrt(2)

 

The law of sines   gives:

 

  sin(154) / (10 sqrt(2)) =  sin( ∠EAC)/ 6.

 

Solving for  ∠ EACV   gives   ∠EAC =  10.7º

  ∠EAB is this result plus 45  or 55.7°