darielaalvarado05
darielaalvarado05 darielaalvarado05
  • 02-02-2022
  • Mathematics
contestada

Find the value of x. Round your answer to the nearest tenth.​

Find the value of x Round your answer to the nearest tenth class=

Respuesta :

elliely24 elliely24
  • 02-02-2022
13.9
it’s a special triangle and that side would be 8√3 which is 13.9
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SpiritInly
SpiritInly SpiritInly
  • 02-02-2022

Answer:

c. 13.9

Step-by-step explanation:

we can work out the third angle

all angles add up to 180

90 + 30 = 120, 180 - 120 = 60

using law of sines

[tex] \frac{x}{ \sin(a) } = \frac{b}{ \sin(b) } [/tex]

where sin(a) = 60, b = 30 and sin(b) = 30

[tex] \frac{x}{sin(60)} = \frac{8}{ \sin(30) } [/tex]

[tex]x = \frac{8}{sin(30)} \times \sin(60) [/tex]

x = 13.9

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