The fore bearing and back bearings were observed in traversing with a compass
Line Forebearing Back bearing
PQ S 37° 30′ E N 37° 30′ W
QR S 43° 15′ W N 44° 15′ E
RS N 73° 00′ W S 72° 15′ E
ST N 12° 45′ E S 13° 15’W
TP N 60° 00′ E S 59° 00’W
The corrected interior angle at R will be ______
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Solution
Which of the following statements are correct regarding theodolite
1.An angle measured clockwise from the preceding line to the forward line is called direct angle or angle to the right of azimuth
2.Lining – in is a method of establishing intermediate points on aline when the ends are not inter visible but they are visible from some intermediate point.3.Spine test theodolite is used to check the perpendicularty of horizontal and vertical ax is.
4.Repitition method is preferred over reiteration where a no of angles are to be required atone point.
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Solution
For point 2. "Balancing in" is the method for point 4. Repitition is preferred when single angle is measured.
Extra widening required at a horizontal curve on a single lane road of radius 80m for a design speed of 50 kmph and for a vehicle with wheel base 6 m is-
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Solution
A rectangular parking lot,with direction of overland flow parallel to the larger side,has a time of concentration 30 minutes. For purpose of design of the drainage, four rainfall patterns as below are to be considered. A = 50 mm/hr for 15 minutes. B = 25 mm/hr for 10 minutes, C =10 mm/hr for 1 hour and D = 30 mm/hr for 30 minutes. The greatest peak of runoff is expected in the storm.
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Solution
The image of the base and top of 200 m tower is seen in a photograph of scale 1 : 15000. If the base point is 65 mm from the principal point then the co-ordinate of the top from the principal point will be ______ m.
The focal length of the camera was 200 mm and assume the base of the tower is the datum plane.
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Solution
A probability density function is of the form p(x) = Ke–α|x|, x ∈ (–∞, ∞). The value of K is
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Solution
For the differential equation \(\frac{d^{2}y}{dx^{2}}+k^{2}y=0\), the boundary conditions are
(i)y = 0 for x = 0 and
(ii)y = 0 for x = a
The form of non-zero solutions of y (where, m varies overall integers) is
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Solution
A function n(x) satisfied the differential equation \(\frac{d^{2}n(x)}{dx^{2}}-\frac{n(x)}{L^{2}}=0\) ,where L is a constant. The boundary conditions are n(0) = K and n(∞) = 0. The solution to this equation is
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Solution
The maximum value of quntil which the approximation sin q ≈ q holds to within 10% error is
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Solution
Consider the matrix P =\(\begin{bmatrix} 0 & 1 \\ -2 & -3 & \end{bmatrix}\) The value of eP is
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Solution
Sum of eigen values= Sum of diagonal elements=–1
∴it is option(b).