143k views
4 votes
Find the value of X round to the nearest 10th

Find the value of X round to the nearest 10th-example-1
User Wynona
by
8.2k points

1 Answer

12 votes

Answer: 22.1°

Explanation:

Applying law of sines, we have:

8² = 19² + 14² - 2*14*19 * Cos(x)

64 = 557 - 532*cos(x)

64 - 557 = -532*cos(x)

-493 = -532*cos(x)

Divide both sides by -532

-493/-532 = cos x

0.926691729 = cos x

x = cos^-1(0.926691729)

x = 22.1° (nearest tenth)

User Brildum
by
7.7k points

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