solve for (x). round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n(x =)

solve for (x). round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n(x =)

solve for (x). round to the nearest tenth of a degree, if necessary.\nanswer attempt 1 out of 2\n(x =)

Answer

Answer:

$x\approx 58.4^{\circ}$

Explanation:

Step1: Identify trig - ratio

We use the tangent ratio since $\tan x=\frac{opposite}{adjacent}$. Here, $\tan x=\frac{5.2}{3.2}$.

Step2: Solve for $x$

$x = \arctan(\frac{5.2}{3.2})$.

Step3: Calculate and round

$x=\arctan(1.625)\approx58.4^{\circ}$ (rounded to the nearest tenth of a degree).