which equation can be used to solve for the measure of angle abc?\no tan(x) = 2.4/10\no tan(x) = 10/2.4\no…

Explanation:

Step1: Recall trigonometric - ratio definitions

In a right - triangle, $\tan\theta=\frac{\text{opposite}}{\text{adjacent}}$ and $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$ for an acute angle $\theta$. For angle $ABC$, the opposite side to angle $ABC$ is $AC = 2.4$ cm and the adjacent side is $BC=10$ cm, and the hypotenuse is $AB = 10.3$ cm.

Step2: Determine the tangent of angle $ABC$

By the definition of the tangent function, $\tan(x)=\frac{\text{opposite}}{\text{adjacent}}$, where $x = \angle ABC$. The opposite side to $\angle ABC$ is $AC$ and the adjacent side is $BC$. So, $\tan(x)=\frac{AC}{BC}=\frac{2.4}{10}$.

Step3: Analyze the sine of angle $ABC$

By the definition of the sine function, $\sin(x)=\frac{\text{opposite}}{\text{hypotenuse}}$. The opposite side to $\angle ABC$ is $AC$ and the hypotenuse is $AB$. So, $\sin(x)=\frac{2.4}{10.3}$.

Answer:

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