Answer:
[tex] t = 17.3 [/tex]
Step-by-step explanation:
Given ∆TUV,
m < T = 87°
TV = u = 11
TU = v = 14
UV = t = ?
Find t using the Law of Cosines.
[tex] t^2 = u^2 + v^2 - 2*u*v*cos(T) [/tex]
Plug in your values.
[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]
[tex] t^2 = 317 - 16.119 [/tex]
[tex] t^2 = 300.881 [/tex]
[tex] t = \sqrt{300.881} [/tex]
[tex] t = 17.3 [/tex] (to the nearest tenth)
