Question

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

Answer 1

7 0 5 M E T E R S !!!!!

Explanation:

Answer 2

705 meters

Explanation:

`cos~60=(650^2+750^2-d^2)/(2 * 650 * 750) \\2 * 650 * 750 * (1)/(2)=50^2(13^2+15^2)-d^2 \\487500=2500(169+225)-d^2\\487500=2500(394)-d^2\\487500=985000-d^2\\487500-985000=-d^2\\d^2=497500\\d=√(497500)\\or~d\approx705.337 \approx 705~meters`