Answer: 40.9
Step-by-step explanation:
Given
angle given is [tex]23^{\circ}[/tex]
[tex]RC=16[/tex]
Using trigonometry
[tex]\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9[/tex]
Using cosine formula
[tex]\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7[/tex]