Solve for indicated side. Round to the nearest hundredth. b = 19 48
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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.
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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