jtprior07
jtprior07 jtprior07
  • 12-03-2022
  • Mathematics
contestada

Solve angle X to 1 dp

Solve angle X to 1 dp class=

Respuesta :

jimrgrant1 jimrgrant1
  • 12-03-2022

Answer:

x ≈ 57.8°

Step-by-step explanation:

using the Sine rule in the triangle

[tex]\frac{11}{sinx}[/tex] = [tex]\frac{8}{sin38}[/tex] ( cross- multiply )

8 × sinx = 11 × sin38° ( divide both sides by 8 )

sinx = [tex]\frac{11sin38}{8}[/tex] , then

x = [tex]sin^{-1}[/tex] ( [tex]\frac{11sin38}{8}[/tex] ) ≈ 57.8° ( to 1 dec. place )

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