Problem

May 2010
22
0
Two pleasure boats set out from Grand Beach on Lynn Lake. After one hour, one boat is 10 km west and 6 km south of Grand Beach. The other boat is 5 km west and 8 km north of Grand Beach. How far apart are the two boats, to the nearest tenth of a kilometre?

Thanks
 

skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
Two pleasure boats set out from Grand Beach on Lynn Lake. After one hour, one boat is 10 km west and 6 km south of Grand Beach. The other boat is 5 km west and 8 km north of Grand Beach. How far apart are the two boats, to the nearest tenth of a kilometre?

Thanks
plot the coordinates \(\displaystyle (x,y)\) for each boat and use the distance formula ...

\(\displaystyle d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}
\)