Respuesta :
The tangent of an angle is the ratio of the opposite side of the angle to the
adjacent side of the angle.
Correct response:
- tan(θ) = 4/3
Method by which the above response is derived
The given parameters are;
AB = 4, BC = 5, CA = 3
The angle θ is the angle formed between sides CA and BC, which is equivalent to ∠ACB.
Taking ∠A = 90°, we have;
[tex]The \ tangent \ of \ an \ angle, \ \theta = \mathbf{\dfrac{Length \ of \ side \ opposite \ to \ angle}{Length \ of \ side \ adjacent \ to \ angle}}[/tex]
[tex]\displaystyle tan(\theta) = \mathbf{\frac{AB}{CA}}[/tex]
Which gives;
[tex]\displaystyle tan(\theta) = \mathbf{\frac{4}{3}}[/tex]
By using the (/) symbol to represent the fraction bar, we have;
[tex]\underline{tan(\theta) = 4/3}[/tex]
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