Salena practises golf at a driving range by hitting golf balls from point  `T`.

The first ball that Salena hits travels directly north, landing at point  `A`.

The second ball that Salena hits travels 50 m on a bearing of 030°, landing at point  `B`.

The diagram below shows the positions of the two balls after they have landed.
  

1. How far apart, in metres, are the two golf balls?  (1 mark)
2. A fence is positioned at the end of the driving range.

    

   The fence is 16.8 m high and is 200 m from the point  `T`.

   
    
    
   What is the angle of elevation from  `T`  to the top of the fence?

    

   Round your answer to the nearest degree.  (1 mark) 

A ferry, `F`, is 400 metres from point `O` at the base of a 50 metre high cliff, `OC`.
 

1. Show that the gradient of the line `FC` in the diagram is 0.125.  (1 mark)
2. Calculate the angle of elevation of point `C` from `F`.
   

    

   Write your answer in degrees, correct to one decimal place.  (1 mark)

3. Calculate the distance `FC`, in metres, correct to one decimal place.  (1 mark)

For an observer on the ground at `A`, the angle of elevation of a weather balloon at `B` is 37°.

`C` is a point on the ground directly under the balloon. The distance `AC` is 2200 m.

To the nearest metre, the height of the weather balloon above the ground is

A.   `1324\ text(m)`

B.   `1658\ text(m)`

C.   `1757\ text(m)`

D.   `2919\ text(m)`

E.   `3655\ text(m)`