Respuesta :
In ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°. Hence, the length of u is 5.54 inches.
What is a cosine law?
Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
u² = s² + t² - 2(s)(t)·cos U
Given that the ΔSTU, s = 4.6 inches, t = 1.8 inches and ∠U=118°.
We can find the length of u by using the Cosine rule
u² = s² + t² - 2(s)(t)·cos U
u² = 4.6² + 1.8² - 2(4.6)(1.8)·cos 118
u² = 19.78 + 3.24 - 16.56 x cos U
u² = 19.78 + 3.24 + 7.77
u² = 30.79
u = 5.54
Hence, the length of u is 5.54 inches.
Learn more about cosine law;
https://brainly.com/question/21718480
#SPJ2
