The measure of the Tan(∠A) is \(\dfrac{12}{5}\)°.
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,
\(\rm{Tangent(\theta) = \dfrac{Perpendicular}{Base}\)
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.
Given to us
We know that tangent is the ratio of perpendicular to the base. therefore,
In ΔABC,
\(Tan(\theta) = \dfrac{Perpendicular}{Base}\)
\(Tan(\angle A) = \dfrac{BC}{AC}\\\\Tan(\angle A) = \dfrac{24}{10}\\\\Tan(\angle A) = \dfrac{12}{5}\)
Hence, the measure of the Tan(∠A) is \(\dfrac{12}{5}\)°.
Learn more about Tangent (Tanθ):
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