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$x = \\square ^\\circ$\nsubmit answer
Answer
Explanation:
Step1: Identify adjacent/hypotenuse
For angle $x$, adjacent side = 54, hypotenuse = 78.
Step2: Use cosine definition
$\cos(x) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{54}{78}$
Step3: Solve for $x$
$x = \arccos\left(\frac{54}{78}\right)$ Calculate $\frac{54}{78} \approx 0.6923$, then $\arccos(0.6923) \approx 46.2^\circ$
Answer:
$46.2$