Solution
Step 1
To find the value of p, apply the sine ratio formula.
[tex]\begin{gathered} sin\theta\text{ = }\frac{Opposite}{Hypotenuse} \\ Opposite\text{ = p} \\ Hypotenuse\text{ = 44} \\ \theta\text{ = 45} \end{gathered}[/tex]
Step 2
Substitute into the sine ratio formula.
[tex]\begin{gathered} sin45\text{ = }\frac{p}{44} \\ \frac{\sqrt{2}}{2}\text{ = }\frac{p}{44} \\ p\text{ = }\frac{44\sqrt{2}}{2} \\ \\ p\text{ = 22}\sqrt{2} \end{gathered}[/tex]
Final answer
[tex]p=\text{ 22}\sqrt{2}[/tex]
