Answer:
[tex] t = 17.3 [/tex]
Step-by-step explanation:
Given:
∆TUV,
m < T = 87°
VT = u = 11
TU = v = 14
VU = t = ?
Use the Law of Cosines to find t as shown below:
[tex] t^2 = u^2 + v^2 - 2uv*cos(T) [/tex]
[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]
[tex] t^2 = 121 + 196 - 308*0.0523 [/tex]
[tex] t^2 = 317 - 16.1084 [/tex]
[tex] t^2 = 300.89 [/tex]
[tex] t = 17.3 [/tex] (rounded to the nearest tenth)
