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What is the value of x in the diagram?

 

 

 

 

 Jul 19, 2020
 #1
avatar+31085 
+1

As follows:

 

Can you take it from here?

 Jul 19, 2020
 #2
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0

need more help.

 Jul 19, 2020
 #3
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That straight up and down line, let's just call that A, as in altitude. Use trig. 

 

so, in a right triangle. sine of an angle is opposite over hypotenuse 

 

                                                      sine 60o  =  A/2   

                                                      0.866      =  A/2  

                                                                 A  =  1.732      

 

now that you know A, go to the triangle on the other side. 

 

                                                       sine 45o  =  1.732/x 

                                                       0.707      =  1.732/x

                                                                   x  =  1.732/0.707 

                                                                   x  =  2.45  

.

 Jul 19, 2020
 #4
avatar+27607 
+1

Using law of sines

2/ sin45 = x/sin60

sin60 * 2/sin45 = x

sqrt3 / (sqrt2/2) = x

x = 2 sqrt3 / sqrt2       =  ~ 2.4494897

 Jul 19, 2020

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