The trigonometric function gives the ratio of different sides of a right-angle triangle. The measure of the indicated angle will be 32°.
What are Trigonometric functions?
The trigonometric function gives the ratio of different sides of a right-angle triangle.
[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\Cosec \theta=\dfrac{Hypotenuse}{Perpendicular}\\\\\\Sec \theta=\dfrac{Hypotenuse}{Base}\\\\\\Cot \theta=\dfrac{Base}{Perpendicular}\\\\\\[/tex]
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite the 90° angle.
The measure of the indicated angle can be found using the cosine function of trigonometry, therefore,
Cos(θ) = 11/13
θ = Cos⁻¹(11/13)
θ = 32.2°
Hence, the measure of the indicated angle will be 32°.
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