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Answer :

Fieryanswererftgo

Answer:

θ = 67.4°

Step-by-step explanation:

using the SOHCAHTOA method,

Here opposite is 12 cm, hypotenuse is 13 cm, adjacent is 5 cm.

Using the formula:

[tex]sin(\beta ) = \frac{oppsoite }{hypotenuse}[/tex]

[tex]sin(\beta ) = \frac{12}{13}[/tex]

[tex]\beta = sin^{-1}(\frac{12}{13} )[/tex]

β = 67.4°

Right angle triangle so apply trigonometric identies.

[tex]\\ \tt\hookrightarrow cos\theta=\dfrac{5}{13}[/tex]

[tex]\\ \tt\hookrightarrow cos\theta=0.37[/tex]

[tex]\\ \tt\hookrightarrow \theta=cos^{-1}(0.37)[/tex]

[tex]\\ \tt\hookrightarrow \theta=68.3[/tex]

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