find x. round your answer to the nearest tenth of a degree.\n$x = \\square ^\\circ$

find x. round your answer to the nearest tenth of a degree.\n$x = \\square ^\\circ$

find x. round your answer to the nearest tenth of a degree.\n$x = \\square ^\\circ$

Answer

Explanation:

Step1: Identify trigonometric ratio

For angle $x$, opposite side = 18, adjacent side = 15. Use tangent: $\tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{18}{15}$

Step2: Simplify the ratio

$\tan(x) = 1.2$

Step3: Solve for $x$

Use inverse tangent: $x = \arctan(1.2)$

Step4: Calculate and round

Compute $\arctan(1.2) \approx 50.2^\circ$

Answer:

$50.2$