Answer:
[tex] r = 17.3 [/tex]
Step-by-step explanation:
We are given the following:
m < T = 87°
TV = u = 11
TU = v = 14
UV = t = ?
Use the Law of Cosines to solve for the value of t as explained below:
[tex] t^2 = u^2 + v^2 - 2(u)(v)*cos(T) [/tex]
[tex] r^2 = 11^2 + 14^2 - 2(11)(14)*cos(87) [/tex]
[tex] r^2 = 121 + 196 - 16.12 [/tex]
[tex] r^2 = 317 - 16.12 [/tex]
[tex] r^2 = 300.88 [/tex]
[tex] r = \sqrt{300.88} [/tex]
[tex] r = 17.3 [/tex] (to the nearest tenth)
