Find the value of X round to the nearest 10th law of cosines.
1 answer:
Image of triangle is missing, so i have attached it.
Answer:
x = 18
Step-by-step explanation:
From the diagram attached, we can see that the 3 given sides have dimensions of x, 16 and 30.
Also, we see the angle opposite the dimension of x is 30°
Thus,we can use law of cosine to fjnd the value of x. Thus:
x² = 16² + 30² - 2(16 × 30)cos 30
x² = 256 + 900 - (960 × 0.866)
x² = 324.64
x = √324.64
x = 18.02
Approximating to the nearest tenth gives; x = 18
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