Question

Round your answer to the nearest hundredth. Again.

Answer 1

Given:

In the given triangle ΔABC,

AB = 9 unit

AC = 2 unit

To find the value of ∠ABC.

Formula

From trigonometric ratio we get,

`sin \theta = (opposite)/(hypotenuse)`

Let us take, ∠ABC =
`\theta`

With respect
`\theta`, AC is the opposite side and AB is the hypotenuse.

So,

`sin \theta = (AC)/(AB)`

or,
`sin \theta` =
`(2)/(9)`

or,
`\theta = sin^(-1) ((2)/(9) )`

or,
`\theta= 12.84^\circ`

Hence,

The value of ∠ABC is 12.84°.