Question

Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

Answer 1

Twelve-fifths.

Explanation:

The diagram is shown below

Given triangle be right angled at
`B`,

Withe reference to
`\angle A`,

Its opposite side is
`BC=12` , adjacent side is
`AB=5` and hypotenuse is
`AC=13`

We are to find the value of
`tan(A)`

We know
`tan=(opposite)/(adjacent)`

Substituting the above values we get,

`tan(A)= (BC)/(AB)=(12)/(5)`

So the answer is Twelve-fifths.

Answer 2

C.
`(12)/(13)`

Explanation:

cos(Z) = cos(C)

cos(C) = 12/13

Because adjacent side over hypotenuse side length.

Therefore, cos(Z) = 12/13.