The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The value of x in the given triangle is 3.6 cm.
What is Tangent (Tanθ)?
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
Base is the adjacent smaller side of the angle θ.
The tan function for the angle which measures 20° can be written as,
[tex]\rm Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\tan(20^o)=\dfrac{x}{10}\\\\x = 3.639\approx 3.6\ cm[/tex]
Thus, the value of x in the given triangle is 3.6 cm.
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