we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C
in this problem
c--------> is the the distance between the docks in meters
a---------> 650 meters
b--------> 750 meters
C---------> 60°
substitute in the formula above
c²=650²+750²-2*650*750*cos 60------> c²=497,500---------> c=705.34 m
c=705 meters
therefore
the answer is
the distance between the docks in meters is equal to 705 m
Answer:
did the assignment
Step-by-step explanation:
A beach has two floating docks. One is 650 meters east of the lifeguard stand. The other is 60° southeast and 750 meters from the lifeguard stand.
Law of cosines:
A triangle is created between a lifeguard stand and 2 floating docks. The distance from the lifeguard stand to one dock is 750 meters, and the distance to the second dock is 650 meters. The angle between the 2 sides is 60 degrees.
Rounded to the nearest meter, what is the distance between the docks? Round to the nearest meter.
589 meters
705 meters
792 meters
861 meters
