using trig to find a side\nscore: 2/5 penalty: none\nquestion\nsolve for $x$. round to the nearest tenth, if…

using trig to find a side\nscore: 2/5 penalty: none\nquestion\nsolve for $x$. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\n$x=$

using trig to find a side\nscore: 2/5 penalty: none\nquestion\nsolve for $x$. round to the nearest tenth, if necessary.\nanswer attempt 1 out of 2\n$x=$

Answer

Answer:

4.9

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(61^\circ)=\frac{2.6}{x}$

Step3: Rearrange to solve for $x$

$x=\frac{2.6}{\tan(61^\circ)}$

Step4: Calculate and round

$\tan(61^\circ)\approx1.8040$, so $x\approx\frac{2.6}{1.8040}\approx4.9$