In ΔXYZ, XY = 15, YZ = 21, and XZ = 27. What is the measure of angle Z to the nearest degree?

Answer 1

To find the measure of angle Z, we can use the Law of Cosines.

c^2 = a^2 + b^2 - 2ab cos(C)

Here, a = XY = 15, b = YZ = 21, and c = XZ = 27. Let C be the angle at vertex Z, which we want to find.

27^2 = 15^2 + 21^2 - 2(15)(21)cos(C)

729 = 441 + 225 - 630cos(C)

-237 = -630cos(C)

cos(C) = 237/630

C = cos^{-1}(237/630)

Using a calculator, we get:

C ≈ 68.9°

Therefore, the measure of angle Z to the nearest degree is 69°.

Answer 2

WRONG!!!

See your other post above