yazmincruz3766
yazmincruz3766 yazmincruz3766
  • 05-02-2019
  • Mathematics
contestada

Can someone show me the steps to solve the problem?

Can someone show me the steps to solve the problem class=

Respuesta :

MrBillDoesMath MrBillDoesMath
  • 05-02-2019

Hello from MrBillDoesMath!

Answer:

320 sqrt(3)


Discussion:

Per the attachment,

cos(30 ) = n/ 32 =>  n = 32 cos(30) = 32 (sqrt(3)/2) = 16 sqrt(3)

So

area of shaded triangle =  

area triangle DBC =

area triangle ADC - area triangle ABD =

1/2 (n) * (m + 40)    - 1/2 n * m =

1/2  n*m  + 1/2 (40n) - 1/2 n*m =

1/2(40n) =

20n =

20 ( 16 sqrt(3)) =                                as n = 16 sqrt(3)

320 sqrt(3)



Thank you,

MrB

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