stephaniebean17
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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 26, the length of A C is 10, and the length of B C is 24.
Given right triangle ABC, what is the value of tan(A)?

Respuesta :

suspho9

Answer:

tan(A) = 12/5

Step-by-step explanation:

Given a right angle triangle ABC.

If ∠BCA = 90°

the hypotenuse AB = 26

AC = 10 and BC = 24.

Using the SOH, CAH, TOA trigonometry identity, SInce we are to find tanA, we will use TOA. According to TOA;

Tan (A) = opp/adj

Taken BC as opposite side since it is facing angle A directly and AC as the adjacent;

tan(A) = BC/AC

tan(A) = 24/10

tan(A) = 12/5

devishri1977

Answer:

         [tex]\ tan \ A = \dfrac{24}{10}[/tex]

Step-by-step explanation:

[tex]\sf Tan \ A = \dfrac{opposite \ side \ of \ angle \ A}{adjacent \ side \ of \ angle A}\\\\Tan \ A = \dfrac{BC}{AC}\\\\Tan \ A = \dfrac{24}{10}[/tex]

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