Question

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)?

Answer 1

tan(A) = 12/5

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

Answer 2

`\ tan \ A = (24)/(10)`

Explanation:

`\sf Tan \ A = (opposite \ side \ of \ angle \ A)/(adjacent \ side \ of \ angle A)\\\\Tan \ A = (BC)/(AC)\\\\Tan \ A = (24)/(10)`