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1) 

2)

3)

Thank you so much for your time !

Johnnyboy  Apr 23, 2018
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 #1
avatar+26689 
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1)   tan(x) = opposite/adjacent   so  x = tan-1(opposite/adjacent)  

      Here we have:  x = tan-1(5/20)

      You can use the calculator on this site to evaluate this  (note that atan is the same as tan-1).

 

2)   sin(angle) = opposite/hypotenuse   so   sin(45°) = 4sqrt(2)/x  or  x = 4sqrt(2)/sin(45°)

 

3)  Take the "base" to be the 11cm side.  The "height" is then given by 9*sin(63°) cm  The area is obtained from (1/2)base*height.

Alan  Apr 23, 2018

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