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Determine the value of x to the nearest tenth of a centimetre.

 May 5, 2022
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Angle  B  in the smaller( isosceles) triangle =   (180 -70) / 2  =  55°

 

So we can find the  base of the larger triangle as

 

base  /sin70  = 27/sin55

 

base =  27*sin 70 / sin 55  ≈  31

 

So

 

x =  31/sin27  ≈  68.3°

 

 

cool cool cool

 May 5, 2022

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