Question

Given right triangle ABC, what is the value of tan (A)

O 5/13
O 12/13
O 12/5
O 13/12

Answer 1

`(12)/(5)`

Explanation:

Tan is equal to
`(opposite)/(adjacent)`. The side opposite to angle A is BC while the side adjacent to it is AC. This means tan(A) is
`(BC)/(AC)`. It is given that BC is 24 and AC is 10, so we can substitute those values in and simplify:

tan(A) =
`(24)/(10) = (12)/(5)`

Answer 2

12/5

Explanation:

Recall that trig function tan = opposite / adjacent

Find tan A

Opposite side of angle A = 24

Adjacent of A = 10

Tan (A) = 24/10

24/10 can be simplified to 12/5