Answer:
In this isosceles right triangle, the length of the hypotenuse (OR) is √2 times the length of each leg (OP and PR).
OP = 5/√2 = (5√2)/2 m
In this 30°-60°-90° triangle, the length of the longer leg (OP) is √3 times the length of the shorter leg (QP).
QP = (5√2)/(2√3) = (5√6)/6 m