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

What Is The Value Of P45O 223O 22O 443O 442O 44O 22244р45 class=

Sagot :

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]

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