find qr. write your answer as an integer or as a decimal rounded to the nearest tenth. qr =
find qr. write your answer as an integer or as a decimal rounded to the nearest tenth. qr =
Answer
Explanation:
Step1: Identify the trig - ratio
In right - triangle $QSR$, we know the side $QS = 5.6$ and the angle $\angle R=62^{\circ}$, and we want to find the hypotenuse $QR$. We use the sine function since $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\sin R=\frac{QS}{QR}$.
Step2: Rearrange the formula
From $\sin R=\frac{QS}{QR}$, we can rewrite it as $QR=\frac{QS}{\sin R}$.
Step3: Substitute the values
We know that $QS = 5.6$ and $R = 62^{\circ}$, and $\sin62^{\circ}\approx0.8829$. So $QR=\frac{5.6}{0.8829}\approx6.3$.
Answer:
$6.3$