Question

find wy.
write your answer as an integer or as a decimal rounded to the nearest tenth.
wy =
submit
work it out
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Explanation:

Step1: Identify trigonometric ratio

We have a right triangle $\triangle WXY$, right-angled at $X$. For $\angle W = 54^\circ$, side $XY = 5.5$ is the opposite side, and $WY$ is the hypotenuse. We use the sine ratio:
$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute known values

Substitute $\theta = 54^\circ$, opposite side $= 5.5$, hypotenuse $= WY$:
$\sin(54^\circ) = \frac{5.5}{WY}$

Step3: Solve for $WY$

Rearrange to isolate $WY$:
$WY = \frac{5.5}{\sin(54^\circ)}$
Calculate $\sin(54^\circ) \approx 0.8090$, so:
$WY \approx \frac{5.5}{0.8090} \approx 6.8$

Answer:

$6.8$