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What is the value of x?

Enter your answer, as a decimal, in the box.

 Jan 16, 2018
 #1
avatar+101084 
+1

MN  - AN  =  MA   ...so...

 

46.2  - 14  =  32.2  =  MA

 

And we have that

 

MA / MN  =  32.2 / 46.2    =  23/33

 

And the other side has a similar proportion such that

 

x / 72.6  =   23 / 33       cross-multiply

 

33x  =  23 * 72.6        divide both side by 33

 

x  =  [ 23 * 72.6]  / 33  =  50.6

 

 

cool cool cool

 Jan 16, 2018
 #2
avatar
+1

In triangle MNP, Sine of angle MPN =46.2/72.6 = Sine of angle ABM =0.636363.......etc.

Side MA =46.2 - 14 =32.2 cm, So you have:

0.636363..... =32.2 /x and x =32.2 /0.636363.... =50.6 cm

 Jan 16, 2018

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