The measure of ∠B is 31.6 .
What is trigonometric ratio?
Trigonometric ratios are the ratios of the length of sides of a triangle.
These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
The basic trigonometric ratios formulas are given below,
sin θ = Perpendicular/Hypotenuse
cos θ = Base/Hypotenuse
tan θ = Perpendicular/Base
sec θ = Hypotenuse/Base
cosec θ = Hypotenuse/Perpendicular
cot θ = Base/Perpendicular
According to the question
In right angle triangle ACB
Base BC= 22.9
Perpendicular AC = 14.1
now , using trigonometric ratio
tan ∠B = [tex]\frac{AC}{BC}[/tex]
tan ∠B = [tex]\frac{14.1}{22.9}[/tex]
∠B = [tex]tan^{-1} 0.615[/tex]
∠B = 31.6
Hence, The measure of ∠B is 31.6 .
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