Question

Find tan A for the triangle below.

Answer 1

Tangent is the opposite divided by the adjacent.
Tan A = 12/21
Tan A = 0.5714
The answer is D.

Answer 2

Option (d) is correct.

`\tan A=0.5714`

Explanation:

Given : A right angled triangle with given dimensions.

We have to find the value of
`\tan A`

Consider the given right angled triangle.

Using trigonometric ratio,

The tangent of angle is the ratio of perpendicular to the base.

Mathematically written as
`\tan\theta=(Perpendicular)/(base)`

For the given triangle

`\theta=A` , base = 21 and perpendicular = 12

Substitute, we have,

`\tan A=(12)/(21)`

Simplify, we have,

`\tan A=0.5714`

Option (d) is correct.