Step 1: Understanding non-transit theodolite.
A non-transit theodolite differs from a transit theodolite in that its telescope cannot be completely rotated in the vertical plane (i.e., it does not allow for face reversal).
Step 2: Analyze each option.
(A) Vernier scale is essential for measuring angles and is present.
(C) Spirit level is used for leveling the instrument.
(D) Cross-hair is required for sighting and targeting objects.
(B) Face-left and face-right observations require full vertical rotation of the telescope, which is not possible in non-transit theodolites.
Three villages P, Q, and R are located in such a way that the distance PQ = 13 km, QR = 14 km, and RP = 15 km, as shown in the figure. A straight road joins Q and R. It is proposed to connect P to this road QR by constructing another road. What is the minimum possible length (in km) of this connecting road?
Note: The figure shown is representative.
For the clock shown in the figure, if
O = O Q S Z P R T, and
X = X Z P W Y O Q,
then which one among the given options is most appropriate for P?