The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The value of x is 6.2 units.
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,
The base is the adjacent smaller side of the angle θ.
The value of x is,
x = AB - AC
x = 31(Tan 37°) - 31(Tan 29°)
x = 6.17659 ≈ 6.2 units.
Hence, the value of x is 6.2 units.
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