Question

find su.

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

Explanation:

Step1: Identify trigonometric ratio

In right triangle $SU T$, $\angle U=90^\circ$, $\angle T=44^\circ$, hypotenuse $ST=10$. We use $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$ where $\theta=\angle T$, opposite side is $SU$.
$\sin(44^\circ)=\frac{SU}{ST}$

Step2: Solve for $SU$

Rearrange the formula to isolate $SU$:
$SU = ST \times \sin(44^\circ)$
Substitute $ST=10$:
$SU = 10 \times \sin(44^\circ)$
Calculate $\sin(44^\circ)\approx0.6947$, so:
$SU \approx 10 \times 0.6947 = 6.947$

Step3: Round to nearest tenth

Round $6.947$ to one decimal place:
$SU \approx 6.9$

Answer:

$6.9$