Q:

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. The distance between the docks is____ Rounded to the nearest meter.A) 589B) 705C) 792D) 861

Accepted Solution

A:
using the cosine law

Cos60 = (650^2 +750^2 - x^2)/(2*650*750)     x is the distance between them

(2*650*750)cos60 = 650^2 + 750^2 - x^2

x^2 = 650^2 +750^2 - (2*650*750)cos60 =497500

x = √497500 = 705 meters approx.