Calculating distance

This task is about using trigonometry to find missing lengths.
  calculating-distance-diagram-1.png     [Not drawn to scale]
 
a)  Chris is flying a kite on a 25 metre (m) string. The string is at an angle of 74°.
     How high off the ground is the kite?
     Show your working.
 
 
 
q = __________ metres
 

calculating-distance-diagram-2.png     [Not drawn to scale]
b)  Sue swam across a river that is 32 metres (m) wide. The current took her off course by 9°.
     How far down the river did the current taken her by the time she got to the other side?
     Show your working.
 
 
 
r = __________ metres

 

calculating-distance-diagram-3.png      [Not drawn to scale]
c)  Alex sailed his yacht south-west at 45° for 36 kilometres (km).
     How far south of his starting point is Alex's yacht now?
     Show your working.
 
 
 
s = __________ kilometres