Answer: a
Explanation: Relation between the co-ordinates must be established in such a way that they might form a relation. In case of altitude and latitude, they must be equal so that they can satisfy the required relation in case of solving problem.
Answer: c
Explanation: The placement of star defines the sign of the deflection angle. If the star is below the equator, then negative sign is allocated and if it is above then positive sign is allocated. By the allocation of sign to the deflection angle it might help in the determination of relation between latitude and declination.
Answer: d
Explanation: The relation between latitude and the altitude can be given as
θ = α. So, the value of latitude of the observer can be given as
θ = 23˚41ꞌ.
Answer: b
Explanation: The latitude in case of declination and zenith can be given as
θ = δ + z. On substitution, we get
θ = 54˚32ꞌ +10
θ = 64˚32ꞌ.
Answer: a
Explanation: The difference can be calculated by
B – A = 160˚- 30˚ = 130˚. In case of change in direction, the angle must be subtracted or multiplied with 180. This will help in change in its direction.
Answer: d
Explanation: The distance can be calculated by
Distance = difference of longitude * cos latitude. On substitution, we get
Distance = (44˚2ꞌ W – 32˚12ꞌ W)*cos29˚24ꞌ * 1.852
Distance = 19.1km.
Answer: b
Explanation: The relation between right ascension and hour angle can be determined by using the hour angle of equinox, which can be given as hour angle of equinox = hour angle of star+ R.A of the star.
Answer: a
Explanation: Napier’s rule is used in the determination of the distance between two points. It also involves in the measurement of altitude and hour angle if the declination and latitude are known.
Answer: c
Explanation: Here, declination of a star is greater than the latitude the,
Zenith distance = ZP – AP
Zenith distance = (90-θ)- (90-δ)
Zenith distance = 90-54˚21ꞌ-90+74˚32ꞌ
Zenith distance = 20˚11ꞌ.