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solve for theta. Enter answer only round to the tenth

Solve For Theta Enter Answer Only Round To The Tenth class=

Sagot :

ANSWER:

[tex]\theta=62.73\text{\degree}[/tex]

STEP-BY-STEP EXPLANATION:

We can calculate the value of the angle by means of the trigonometric ratio sine which is the following

[tex]\begin{gathered} \sin \theta=\frac{\text{opposite }}{\text{ hypotenuse}} \\ \text{opposite = 24} \\ \text{hypotenuse = 27} \end{gathered}[/tex]

Replacing and solving for the angle:

[tex]\begin{gathered} \sin \theta=\frac{24}{27} \\ \theta=\arcsin (\frac{24}{27}) \\ \theta=62.73\text{\degree} \end{gathered}[/tex]

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