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Sloan [31]
3 years ago
8

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

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer:

X≈ 70.5°

Step-by-step explanation:

Using the cosine rule in Δ XYZ

cos X = \frac{y^2+z^2-x^2}{2yz}

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

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

          = \frac{400+324-484}{720}

          = \frac{240}{720} , then

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

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