Question 622174
If you draw everything out, you'll get something like this


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/6-19-20123-44-11PM.png">



Note: the missing angle (up at the top) is 103 degrees since 103+29+48 = 180



You're given "The distance between the balloon and the canoe is 650 m", so you can say s = 650


This means that


sin(angle) = opp/hyp


sin(29) = h/s


sin(29) = h/650


h  = 650*sin(29)


h = 315.126


So you have the right answer.


-------------------------------------------------------


b)


sin(48) = opp/hyp


sin(48) = h/r


sin(48) = 315.126/r


r = 315.126/sin(48)


r = 424.0438


So the distance between the balloon and the sailboat is about 424.0438 m


-------------------------------------------------------

c)


In this part, use the tangent function to find the values of 'x' and 'y' (see the drawing above). Then add up x and y to get the total distance between the sailboat and the canoe.