Question

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

Explanation:

Step1: Identify trigonometric ratio

We have a right triangle at $R$, angle at $S$ is $23^\circ$, hypotenuse $TS=10.4$. We need $RT$, which is the opposite side to angle $S$. Use sine:
$\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute known values

$\sin(23^\circ)=\frac{RT}{10.4}$

Step3: Solve for $RT$

$RT = 10.4 \times \sin(23^\circ)$
Calculate $\sin(23^\circ)\approx0.3907$, so:
$RT \approx 10.4 \times 0.3907$
$RT \approx 4.063$

Step4: Round to nearest tenth

Round $4.063$ to one decimal place:
$RT \approx 4.1$

Answer:

$4.1$