Two tugboats are towing a large ship into port, as shown in the figure. The larger tug exerts a force of 4,100 pounds on its cable, and the smaller tug exerts a force of 3,500 pounds on its cable. If the ship is to travel on a straight line l, approximate the angle $0$ that the larger tug must make with l.
A) $\theta = 24.3 ^ { \circ }$
B) $\theta = 22.2 ^ { \circ }$
C) $\theta = 25.3 ^ { \circ }$
D) $\theta = 64.7 ^ { \circ }$
E) $\theta = 27.4 ^ { \circ }$

Question

Two tugboats are towing a large ship into port, as shown in the figure. The larger tug exerts a force of 4,100 pounds on its cable, and the smaller tug exerts a force of 3,500 pounds on its cable.  If the ship is to travel on a straight line l, approximate the angle $0$ that the larger tug must make with l.
A) $\theta = 24.3 ^ { \circ }$ 
B) $\theta = 22.2 ^ { \circ }$ 
C) $\theta = 25.3 ^ { \circ }$ 
D) $\theta = 64.7 ^ { \circ }$ 
E) $\theta = 27.4 ^ { \circ }$

Quizplus · Accepted Answer

The Answer of Two tugboats are towing a large ship into port, as shown in the figure. The larger tug exerts a force of 4,100 pounds on its cable, and the smaller tug exerts a force of 3,500 pounds on its cable.  If the ship is to travel on a straight line l, approximate the angle $0$ that the larger tug must make with l.
A) $\theta = 24.3 ^ { \circ }$ 
B) $\theta = 22.2 ^ { \circ }$ 
C) $\theta = 25.3 ^ { \circ }$ 
D) $\theta = 64.7 ^ { \circ }$ 
E) $\theta = 27.4 ^ { \circ }$

Two Tugboats Are Towing a Large Ship into Port, as Shown