Two lizards \(A\) and \(B\), are on the ground. They spotted a spider(prey) on the wall at a distance of 21 \(cm\) from the ground and at an angle of elevation 30\(^{\circ}\) and 60\(^{\circ}\), respectively. They both start simultaneously and with the same speed along the shortest path to catch their prey. Find which lizard will catch its prey first?
Answer:
The distance travelled by lizard \(A\) to reach the spider is \(cm\), and the distance travelled by lizard \(B\) to reach the spider is \(cm\).
The lizard that first catches its prey is
(Note: Enter the answers in two decimal places)