Question

what is the approximate value of y - x? 4.9° 6.2° 11.1° 17.2°

Explanation:

Step1: Find angle $x$

Use the tangent - function. $\tan x=\frac{14.1}{19.1}$, so $x = \arctan(\frac{14.1}{19.1})$.
$x=\arctan(\frac{14.1}{19.1})\approx\arctan(0.7382)\approx36.4^{\circ}$

Step2: Find angle $y$

Use the tangent - function. $\tan y=\frac{19.1}{14.1}$, so $y=\arctan(\frac{19.1}{14.1})$.
$y = \arctan(\frac{19.1}{14.1})\approx\arctan(1.3546)\approx53.5^{\circ}$

Step3: Calculate $y - x$

$y - x\approx53.5^{\circ}-36.4^{\circ}=17.1^{\circ}\approx17.2^{\circ}$

Answer:

$17.2^{\circ}$