A Hurricane Direction Shift

The movement of a hurricane is modelled by vector h. 

It is moving at a speed of 20 kph, with the direction of 165˚ above the equator, when portrayed on a flat map of the Earth. 

a) Write h in component form.

[2 marks]

The hurricane makes landfall. Its movement is now modelled by vector l, \(\left( \frac{15\sqrt{3}}{2}\mathbf{\text{i\ }},\mathbf{\ }\frac{15}{2}\mathbf{j} \right)\).

b) Find the amount by which the hurricanes speed has decreased and state the hurricanes new direction.

[3 marks]