What is equivalent to 45.701

45 _701/1000

Step-by-step explanation:

Angle Y equals 58.9 degrees (to the nearest tenth)

Step-by-step explanation: The triangle given in the question already has all three sides provided, while none of the angles has been given. We can apply the cosine rule which states that,

c^2 = a^2 + b^2 - 2ab CosC

Where C is the reference angle, we shall replace this with a new label, Y to suit our question. Hence our Cosine Rule can be re-written as ;

y^2 = x^2 + z^2 -2xz CosY

20^2 = 22^2 + 18^2 -(2{22 x 18}CosY)

400 = 484 + 324 - (2{396} CosY)

400 = 808 - (792 CosY)

Subtract 808 from both sides of the equation

-408 = -792CosY

Divide both sides of the equation by -792

-408/-792 = CosY

0.5151 = CosY

By use of calculator or table of values, 0.5151 equals 58.9958

Approximately to the nearest tenth,

Y = 58.9 degrees