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avatar+252 

What is the value of x in the diagram?

 Jul 30, 2020
 #1
avatar+21953 
+2

Let  h  be the height of the triangle.

 

From the triangle on the left:  sin(60)  =  h / 8   --->   h  = 8·sin(60)   --->   6.9282

 

From the triangle on the right:  sin(45)  =  6.9282 / x   --->   sin(45)·x  =  6.9282

                                --->   x  =  6.9282 / sin(45)  =  ........

 Jul 30, 2020
 #2
avatar+1326 
0

x = [ sin(60º) * 8 ] / sin(45º)

 Jul 31, 2020
 #3
avatar+1130 
+1

in a 30-60-90 triangle the legs of the 60o triangle has legs 4 and 4sqrt3 so we have x=sqrt(2(4sqrt3)^2) since it is an 45-45-90 triangle and we simplify to get x=sqrt(2*48) so \(x=\sqrt{96}=4\sqrt6\)

 Jul 31, 2020

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