Answer:
cos(P) = 20/29
Step-by-step explanation:
Given the following information:
- ∠R=90°,
- QP = 29
- RQ = 21
- PR = 20
To ratio represents the cosine of ∠P we use the cosine law (please have a look at the attached photo)
[tex]RQ^{2}[/tex] =[tex]QP^{2}[/tex]+ [tex]PR^{2}[/tex] − 2QP*PRcos(P)
<=> cos(P) = ([tex]QP^{2}[/tex]+ [tex]PR^{2}[/tex] - [tex]RQ^{2}[/tex]) / 2QP*PR
<=> cos(P) =( [tex]29^{2} + 20^{2} - 21^{2}[/tex]) /2*29*20
<=> cos(P) = 20/29
Hope it will find you well.
