Question

What is the value of p?45°O 22√3O 22O 44√3O 44√2O 44O 22√244р45°

Answer 1

Step 1

To find the value of p, apply the sine ratio formula.

`\begin{gathered} sin\theta\text{ = }(Opposite)/(Hypotenuse) \\ Opposite\text{ = p} \\ Hypotenuse\text{ = 44} \\ \theta\text{ = 45} \end{gathered}`

Step 2

Substitute into the sine ratio formula.

`\begin{gathered} sin45\text{ = }(p)/(44) \\ (√(2))/(2)\text{ = }(p)/(44) \\ p\text{ = }(44√(2))/(2) \\ \\ p\text{ = 22}√(2) \end{gathered}`

Final answer

`p=\text{ 22}√(2)`