Question

Which equation can be used to solve for the measure of angle ABC? tan(x) = StartFraction 2. 4 Over 10 EndFraction tan(x) = StartFraction 10 Over 2. 4 EndFraction sin(x) = StartFraction 10 Over 10. 3 EndFraction sin(x) = StartFraction 10. 3 Over 10 EndFraction.

Answer 1

The equation can be used to solve for the measure of angle ABC is given in option (A).

Since the image of the $\Delta ABC$ is missing, so i attached the same image as asked in the question.

Now according to the figure,

$\Delta ABC$ is a right angled triangle, right angled at C, so the hypotenuse will be Side AB.

We have to calculate the value of $\angle ABC$.

By trigonometric ratios we know that,

$\tan\theta=\dfrac{\rm Perpendicular}{\rm Base}$

Now for $\angle ABC$ perpendicular is AC and base is BC, also $\Theta$ will be $x$ .( see the attached figure )

So,

$\tan x=\dfrac{AC}{BC}$

Since AC is 2.4 and BC is 10.

Now,

$\tan x=\dfrac{2.4}{10}$

Thus the correct option is (A).

For more details on trigonometric ratios follow the link:

https://brainly.com/question/1201366