Question

Using the right triangle below find tangent of angle A

Answer 1

tan 60 = √3 or tanФ = √3

Explanation:

let Angle at A be Ф.

We know that,

tanФ = opposite / adjacent

From figure,

Opposite side = 4√3

Adjacent Side = 4

tanФ = 4√3 / 4

tanФ = √3

OR

Given that Ф = 60

Angle at A,

tan 60 = √3

Answer 2

Explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

AB represents the hypotenuse of the right angle triangle.

With m∠A as the reference angle,

AC represents the adjacent side of the right angle triangle.

BC represents the opposite side of the right angle triangle.

To determine Tan A, we would apply the tangent trigonometric ratio which is expressed as

Tan θ, = opposite side/adjacent sine. Therefore,

Tan A = 4√3/4

Tan A = √3