The value is 12/5
this is because tan= opposite/adjacent
tan(A)= 24/10 24 is opposite to point A and 10 is adjacent to point A.
this simplifies to 2.4
12/5= 2.4
12/5 is the final answer.
I believe this is correct.
The measure of the Tan(∠A) is [tex]\dfrac{12}{5}[/tex]°.
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.
Given to us
We know that tangent is the ratio of perpendicular to the base. therefore,
[tex]Tan(\theta) = \dfrac{Perpendicular}{Base}[/tex]
[tex]Tan(\angle A) = \dfrac{BC}{AC}\\\\Tan(\angle A) = \dfrac{24}{10}\\\\Tan(\angle A) = \dfrac{12}{5}[/tex]
Hence, the measure of the Tan(∠A) is [tex]\dfrac{12}{5}[/tex]°.
Learn more about Tangent (Tanθ):
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