Respuesta :

Answer:

Step-by-step explanation:

finding PR  ( public relations  :D , not that PR  , the PR on this triangle thingy )

use law of cosines, again

c=sq rt [ a^2+b^2﹣2*a*b*cos(C) ]

where

c=PR

a= 9

b = 22

C = the angle of Q or    180 =   97+24+Q  so Q = 180-97-24 = 59°

they tried to trick us.. by not giving us the angle C  for the above cosine formula , but we figured out their diabolical plan  :D   yay super hero math

then

PR = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]

PR = sq rt [ 81 + 484 -203.9550777 ]

( notice that now it is a subtraction sign instead of a plus sign, this time? )

PR = sq rt [361.0449 ]

PR = 19.0011

to the nearest 10th

19.0 :)