Question

Please answer this now in two minutes

Answer 1

`s = 14.1`

Explanation:

Find s using the Law of Cosines:

m < S = 31°

SR = q = 21

SQ = r = 9

QR = s = ?

Thus,

`s^2 = r^2 + q^2 - 2(r)(q)*cos(S)`

`s^2 = 9^2 + 21^2 - 2(9)(21)cos(31)`

`s^2 = 81 + 441 - 378*0.8572`

`s^2 = 522 - 324.0216`

`s^2 = 197.9784`

`s = √(197.9784)`

`s = 14.07`

`s = 14.1` (to the nearest tenth)