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AlexFokin [52]
3 years ago
8

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

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0

Answer:

To the nearest degrees, this is 64 degrees

Step-by-step 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

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