Question

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

Explanation:

Step1: Identify trigonometric ratio

We use $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$. For $\angle P = 66^\circ$, opposite side is $RQ = 9$, adjacent side is $PQ$.
$\tan(66^\circ) = \frac{9}{PQ}$

Step2: Rearrange to solve for PQ

Rearrange the formula to isolate $PQ$.
$PQ = \frac{9}{\tan(66^\circ)}$

Step3: Calculate the value

Use $\tan(66^\circ) \approx 2.2460$.
$PQ \approx \frac{9}{2.2460} \approx 4.0$

Answer:

$4.0$