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What is the value of $x$ in the diagram?

 Mar 26, 2020
 #1
avatar+724 
+1

 

x = [sin(60°) * 8] / sin(45°) = 9.797958971 units  indecision

 Mar 26, 2020
edited by Dragan  Mar 27, 2020
 #3
avatar+111330 
+1

The triangle  on the left  is a 30-60-90  right triangle

 

The  altitude  opposite  the  60°  angle  =  4√3  =  √48

 

The  triangle on  the right is a  45 - 45 -  90   right triangle

 

The  legs are equal  and x  is the hypotenuse

 

So

 

x   =  √ [ (√48)^2  + (√48)^2 ]   =  √ [ 48 + 48  ] =  √  [ 96 ]   =  √ [ 16 * 6 ]  =  4√6

 

 

cool cool cool

 Mar 26, 2020

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