The accompanying figure shows two ships at points $P$ and $Q$ , which are in the same vertical plane as an airplane at point $$R$$ . When the height of the airplane is $3,100 \mathrm { ft }$ , the angle of depression to $P$ is $35 ^ { \circ }$ and that to $Q$ is $30 ^ { \circ }$ .Find the distance between the two ships.
A) $9,800$ ft
B) $3,960$ ft
C) $380$ ft
D) $60,250$ ft
E) $41,420$ ft

Question

The accompanying figure shows two ships at points $P$ and $Q$ , which are in the same vertical plane as an airplane at point $$R$$ . When the height of the airplane is $3,100 \mathrm { ft }$ , the angle of depression to $P$ is $35 ^ { \circ }$ and that to $Q$ is $30 ^ { \circ }$ .Find the distance between the two ships. 
A) $9,800$ ft 
B) $3,960$ ft 
C) $380$ ft 
D) $60,250$ ft 
E) $41,420$ ft

Quizplus · Accepted Answer

The Answer of The accompanying figure shows two ships at points $P$ and $Q$ , which are in the same vertical plane as an airplane at point $$R$$ . When the height of the airplane is $3,100 \mathrm { ft }$ , the angle of depression to $P$ is $35 ^ { \circ }$ and that to $Q$ is $30 ^ { \circ }$ .Find the distance between the two ships. 
A) $9,800$ ft 
B) $3,960$ ft 
C) $380$ ft 
D) $60,250$ ft 
E) $41,420$ ft

The Accompanying Figure Shows Two Ships at Points PPP And QQQ , Which Are in the Same Vertical Plane as an Q

The Accompanying Figure Shows Two Ships at Points $P$ And $Q$ , Which Are in the Same Vertical Plane as an Q