Respuesta :

wegnerkolmp2741o

Answer:

y = 12

Step-by-step explanation:

Looking at the large triangle

tan 30 = opposite / adjacent

tan 30 = 4 sqrt(3)/ y

Multiply each side by y

y tan 30 = 4 sqrt (3)

We know tan 30 = sqrt(3)/3

y * sqrt(3)/3 = 4 sqrt(3)

Multiply each side by 3/ sqrt(3) to isolate y

y * sqrt(3)/3 * 3/ sqrt(3) = 4 sqrt(3) * 3 /sqrt(3)

y = 12

amna04352

Answer:

y = 12

Step-by-step explanation:

tan(theta) = opposite/adjacent

tan(60) = y/4sqrt(3)

y = 4sqrt(3) × tan(60)

y = 12