Question

Please answer it now in two minutes

Answer 1

`r = 17.3`

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 = √(300.88)`

`r = 17.3` (to the nearest tenth)