Two boats leave the same port at the same time. One travels at a speed of 24 mi/h in the direction N 50° E and the other travels at a speed of 29 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after one hour? (Round your answer to the nearest mile.)

http://www.webassign.net/sprecalc6/6-6-044.gif

Question

Two boats leave the same port at the same time. One travels at a speed of 24 mi/h in the direction N 50° E and the other travels at a speed of 29 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after one hour? (Round your answer to the nearest mile.)

http://www.webassign.net/sprecalc6/6-6-044.gif

anonymous · Answer

Did you try anything?

anonymous · Answer

I used the Pythagorean theorem, but it didn't work.

anonymous · Answer

I got 25 miles?

anonymous · Answer

{24 Cos 50t,24 Sin 50t}

{29 Cos 70 t,-29 Sin 70t}

plug in 1 for 1

{24 Cos 50,24 Sin 50}
{29 Cos 70 ,-29 Sin 70}

I got 45.97 miles