Question

In ATUV, t = 900 inches, u = 830 inches and v=590 inches. Find the measure of ZU

to the nearest degree.

Answer 1

To the nearest degrees, this is 64 degrees

Explanation:

In triangle TUV, we want to get the measure of angle U

Since we have 3 sides, we can use cosine rule to get the measure of the angle facing one of the sides

Mathematically, we have that as follows;

u^2 = t^2 + v^2 -2tv Cos U

830^2 = 900^2 + 590^2 - 2(900)(590) cos U

-469200= -1062000 cos U

cos U = 469,200/1062000

cos U = 0.44181

U = arc cos 0.44181

U = 63.78 degrees

To the nearest degree, this is 64 degrees