Respuesta :

Hello from MrBillDoesMath!

Answer:

Choice C.   (a  =  8* sqrt(3) )


Discussion:

From plane trigonometry:

cos(30) = a/16

As cos(30) = sqrt(3)/2, this is equivalent to

sqrt(3)/2 = a/16.

Multiply both sides by 16 to get

( sqrt(3)/2 ) * 16 = a  

or

a  =  8* sqrt(3)


Thank you,

MrB

wegnerkolmp2741o

Answer:

8 sqrt(3) =a

Step-by-step explanation:

We know that sin 60 = opposite / hypotenuse

sin 60 = a/16

sqrt(3)/2 = a/16

Multiply both sides by 16

16 sqrt(3)/2 = a/16*16

8 sqrt(3) =a


I would memorize sin, cos, tan for 30 degrees, 45 degrees and 60 degrees

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