What is the measurement of angle A to the nearest degree?
Calculate the value of x to one decimal place.
We can use the Law of Sines for the first one
Sin A / 7 = sin (95) / 9
Sin A = 7 sin (95)/ 9
Use the sine inverse
arcsin ( 7 sin (95)/ 9 ) = A ≈ 51°
For the second, we can use the Law of Cosines
x = sqrt [ 3^2 + 7^2 - 2(3)(7)cos (54) ] ≈ 5.8