Question

which equation can be used to solve for the measure of angle abc?$\tan(x) = \frac{2.4}{10}$$\tan(x) = \frac{10}{2.4}$$sin(x) = \frac{10}{10.3}$$sin(x) = \frac{10.3}{10}$not drawn to scale

Explanation:

Step1: Identify sides for angle $x$

For $\angle ABC = x$, opposite side $AC = 2.4$ cm, adjacent side $BC = 10$ cm, hypotenuse $AB = 10.3$ cm.

Step2: Recall tangent ratio

Tangent of angle is $\frac{\text{opposite}}{\text{adjacent}}$.

Step3: Substitute values

$\tan(x) = \frac{2.4}{10}$

Answer:

$\boldsymbol{\tan(x) = \frac{2.4}{10}}$ (First option)