SOLUTION: Trigonometric ratios Solve Δ XYZ if x=5.9, z = 7.2, and y = 4.6. Round sides to one decimal place and angles to the nearest degree.

Algebra ->  Rational-functions -> SOLUTION: Trigonometric ratios Solve Δ XYZ if x=5.9, z = 7.2, and y = 4.6. Round sides to one decimal place and angles to the nearest degree.       Log On


   

Question 1139932: Trigonometric ratios
Solve Δ XYZ if x=5.9, z = 7.2, and y = 4.6. Round sides to one decimal place and angles to the nearest degree.

Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The sides lengths already given

5.9%5E2%2B4.6%5E2-2%2A5.9%2A4.6%2Acos%28gamma%29=7.2%5E2,Law_Of_Cosines
-2%2A5.9%2A4.6%2Acos%28gamma%29=7.2%5E2-5.9%5E2-4.6%5E2
cos%28gamma%29=%285.9%5E2%2B4.6%5E2-7.2%5E2%29%2F%282%2A5.9%2A4.6%29
cos%28gamma%29=0.07608695652
Use calculator to find gamma, and then you can use Law Of Sines to get either of the next angles.