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The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of b is 50.76 units.

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}[/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 value of c can be found by using the cosine function of trigonometry, therefore, the value of b is,

Cos(19°) = 48/b

b = 48/Cos(19°)

b = 50.76579 ≈ 50.76 units

Hence, the value of b is 50.76 units.

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