"West," Elias said. "Always West from the meridian if the LST is smaller. Give me the arc."
cap A equals 360 raised to the composed with power minus 41 raised to the composed with power 17 prime equals 318 raised to the composed with power 43 prime Final Answer The star's position is an altitude of and an azimuth of sidereal time calculations? spherical astronomy problems and solutions
from equatorial via rotation matrix $R$ (latitude $\phi$): Rotation about $y$-axis by $90^\circ - \phi$: $$\beginpmatrix \cos a \cos A \ \cos a \sin A \ \sin a \endpmatrix = \beginpmatrix \sin\phi & 0 & -\cos\phi \ 0 & 1 & 0 \ \cos\phi & 0 & \sin\phi \endpmatrix \beginpmatrix \cos\delta \cos H \ \cos\delta \sin H \ \sin\delta \endpmatrix$$ "West," Elias said