The shadow of a pole standing on a horizontal plane is 'd' m longer when the Sun's altitude is α, than when it is β. What is the height of the pole?
1
\({\rm{}}\frac{{d\cos {\rm{\alpha \;cos\beta }}}}{{\cos \left( {{\rm{\alpha }} - {\rm{\beta }}} \right)}}{\rm{}}\) m
2
\({\rm{}}\frac{{d\sin {\rm{\alpha \;cos\beta }}}}{{\sin \left( {{\rm{\alpha }} - {\rm{\beta }}} \right)}}{\rm{}}\) m
3
\({\rm{}}\frac{{d\sin {\rm{\alpha \;sin\beta }}}}{{\sin \left( {{\rm{\beta }} - {\rm{\alpha }}} \right)}}{\rm{}}\) m
4
\({\rm{}}\frac{{{\rm{d sin\beta \;cos\alpha }}}}{{\cos \left( {{\rm{\alpha }} + {\rm{\beta }}} \right)}}{\rm{}}\) m