Question

Find X.

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

Answer 1

y is 63.8

Explanation:

so we know to cosine formula is x² = y² + z² - 2yz * cosX and we want to find y so we switch up the formula to this by replacing the x with y y² = x² + z² - 2xz * cosY now we work the formula and it will be

808-792*0.939 which is 808-744.236 wich is 63.763444 or rounded to 63.8 now we have our answer

Y=63.8

additional answers X=70.5 AND Z=45.7

Answer 2

X = 70.5º

Explanation:

Law of Cosines

c² = a² + b² - 2ab * cosC

22² = 18² + 20² - 2(18)(20) * cosX

484 = 724 - 720 *cosX

Subtract 724 from both sides

-240 = -720 * cosX

Divide both sides by -720

0.3333333333 = cosX

X = Arccos 0.3333333333

X = 70.52877936753502

Rounded

X = 70.5º