Question

22,496 Learners found this answer helpful

find rt.
write your answer as an integer or as a decimal rounded to the nearest tenth.
$rt = \square$

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=61^\circ$, opposite side $ST=7$, adjacent side $RT=x$.

Step2: Rearrange to solve for RT

$x=\frac{7}{\tan(61^\circ)}$

Step3: Calculate the value

$\tan(61^\circ)\approx1.8040$, so $x\approx\frac{7}{1.8040}\approx3.9$

Answer:

$3.9$