Final answer:
In a right triangle PQR with right angle at Q and m∠P=30°, if PQ=9, then the length of hypotenuse QR, is calculated to be twice that of PQ. Hence, QR equals 18.
Step-by-step explanation:
The question involves a right triangle PQR with its right angle at Q and angle P being 30 degrees. Given that edge PQ measures 9 units, we have to find the length of QR.
In this problem, the concept of trigonometric ratios in right triangle comes into play. For a right triangle, when one angle is 30 degrees, then the ratio between the side opposite to the 30 degrees angle (which equals PQ in this case) and the hypotenuse, is always 1/2.
More specifically, in this case, QR is the hypotenuse and its length can be calculated to be twice the length of PQ. Since PQ is given as 9, we know that the length of QR is 2 times 9, which gives 18.
Learn more about Trigonometric ratios in right triangle