Respuesta :

Answer:

[tex]AB^{2} =AD^{2} +BD^{2}[/tex]

[tex]AB^{2} =(7.5)^{2} +(4.9)^{2}[/tex]

[tex]AB=\sqrt{80.26}[/tex]

[tex]=8.96[/tex]

ΔABC tan C=AB/BC

⇒ tan 55.8= 8.96/BC ⇒BC= 8.96/tan 55.8

BC=x= 6.09

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Hope it helps...

Have a great day!!

7.5^2+4.9^2
= 80.26
Square root of 80.26 = 8.96 ≈ 9
Cos 55.8 (9)
= 5.10 cm