what is the approximate value of y - x?\n4.9°\n6.2°\n11.1°\n17.2°

Explanation:

Step1: Find angle y

Use the tangent function $\tan(y)=\frac{opposite}{adjacent}=\frac{19.1}{14.1}$. Then $y = \arctan(\frac{19.1}{14.1})$. $y=\arctan(\frac{19.1}{14.1})\approx53.5^{\circ}$

Step2: Find angle x

Since the sum of angles in a right - triangle is $180^{\circ}$ and one angle is $90^{\circ}$, and we know y, then $x = 90^{\circ}-y$. $x = 90^{\circ}- 53.5^{\circ}=36.5^{\circ}$

Step3: Calculate y - x

$y - x=53.5^{\circ}-36.5^{\circ}=17^{\circ}\approx17.2^{\circ}$

Answer:

$17.2^{\circ}$