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,

$sin \theta = \frac{opposite}{hypotenuse}$

Let us take, ∠ABC = $\theta$

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

So,

$sin \theta = \frac{AC}{AB}$

or, $sin \theta$ = $\frac{2}{9}$

or, $\theta = sin^{-1} (\frac{2}{9} )$

or, $\theta= 12.84^\circ$

Hence,

The value of ∠ABC is 12.84°.