The inverse trigonometric function that will determine the measurement of ∠B is [tex]cos^{-1}(0.6)[/tex].
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. A math tool applied for finding angles or sides in a right triangle is trigonometric ratios.
[tex]sin(\alpha )=\frac{opposite\; side}{hypotenuse} \\ \\ cos(\alpha )=\frac{adjacent\; side}{hypotenuse}\\ \\ tan(\alpha )=\frac{sin( \alpha) }{cps(\alpha )}=\frac{opposite\; side}{adjacent\; side}[/tex]
The question asks the measurement of ∠B. Thus, you can find ∠B applying the cosine trigonometric ratio.
[tex]cos^{-1}(\frac{12}{20})= cos^{-1}(\frac{3}{5})=cos^{-1}(0.6)[/tex]
Learn more about trigonometric ratios here:
brainly.com/question/11967894
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