Question

Please answer it now in two minutes

Answer 1

Answer:

$r = 17.3$

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:

$t^2 = u^2 + v^2 - 2(u)(v)*cos(T)$

$r^2 = 11^2 + 14^2 - 2(11)(14)*cos(87)$

$r^2 = 121 + 196 - 16.12$

$r^2 = 317 - 16.12$

$r^2 = 300.88$

$r = \sqrt{300.88}$

$r = 17.3$ (to the nearest tenth)