dallaskmeasles dallaskmeasles
  • 26-05-2021
  • Mathematics
contestada

Find X.
Round to the nearest tenth.
Z
20 ft
22ft
X
18 ft
Y
X= [?]°

Find X Round to the nearest tenth Z 20 ft 22ft X 18 ft Y X class=

Respuesta :

jimrgrant1 jimrgrant1
  • 26-05-2021

Answer:

X≈ 70.5°

Step-by-step explanation:

Using the cosine rule in Δ XYZ

cos X = [tex]\frac{y^2+z^2-x^2}{2yz}[/tex]

with x = 22, y = 20, z = 18 , then

cos X = [tex]\frac{202+18^2-22^2}{2(20)(18)}[/tex]

          = [tex]\frac{400+324-484}{720}[/tex]

          = [tex]\frac{240}{720}[/tex] , then

∠ X = [tex]cos^{-1}[/tex] ([tex]\frac{240}{720}[/tex] ) ≈ 70.5° ( to the nearest tenth )

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