305,355 views
11 votes
11 votes
What is the value of p?45°O 22√3O 22O 44√3O 44√2O 44O 22√244р45°

What is the value of p?45°O 22√3O 22O 44√3O 44√2O 44O 22√244р45°-example-1
User Gerardo
by
3.1k points

1 Answer

24 votes
24 votes

Solution

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)

User Guillem
by
3.0k points