Senior Examination Papers, 1892 . 
359 
examination in mensuration and land surveying. 
Maximum Number op Marks, 200. Pass Number, 100. 
Tuesday, May lQth,from 10 a.m. till 1 
1. Express an area of 4.S7-76 acres as a decimal of a square mile. If the 
area is rectangular and one side is G,930 ft. long, what is the length of tlie 
adjacent side ? 
2. A B 0 D is a quadrilateral figure ; the lengths of its diagonals (A C 
and B D) are 752 yards and 693 yards respectively, and the angle between 
them is 60° : find the are.a of the figure. 
Exi^lain why the data in this question, though sufficient for finding the 
area, are not sufficient for determining the shape of the quadrilateral. 
Using a scale of 1 inch equal to 100 yards, draw two 
different quadrilaterals conformably to the data. 
3. A stream has at one point a section 10 ft. wide ^ 
and 2 in. deep ; 6,000 gallons of water pass through 
the section in a minute; what is the velocity of the 0 
stream in feet per minute ? (N.B. — You may assume 60 
that a g.allon of water weighs 10 lb. and that a cubic 37 
foot of water weighs 1,000 oz.) 24 
4. The intern.al radius of an arch is 20 ft. ; the D 
thickness of the masonry is 27 in. : find the number of 
cubic feet of materials used in e.ach foot of the length 
of the arch. 
5. Define a prismoid, and state a rule for finding its 
volume. 
A hole is cut in the side of a hill ; the base (A B C D) 
is horizontal and rectangular ; its width (A B) is 30 ft., 
and its length (B C) is 270 ft. ; for simplicity we will ^ 
suppose the face of the hill to be plane, and to pass 
through A B ; the .slope of the face is 1 vertical to 6 
horizontal ; the slope of the sides and end of the hole is 
1 vertical to 1 horizontal : draw a ground plan of the 
hole and find the number of cubic yards of earth re- 
moved in m.aking it. 
6. A, B, C, D are the comers of a four-sided field : B 
draw a plan of it from the accompanying notes, using 
as .a scale 1 inch equal to 2 chains, and find its area 
from the plan in acres. 
7. A, B, C are three points on the ground, not neces- ^ 
sarily in a straight line ; a level is first placed between gQ 
A and B ; the back reading of the staff at A is 7’35, and 
the forward reading of the staff at B is 2-47 ; the level ^ 
is next placed between B and C, when the back reading 
of the staff at B is 3-84, and the forward reading of the 
staff at C is 5-08 ; when the level is placed between 0 
and A, the back reading of the .staff at C is 2'95 : what 
will be the forward reading of the staff at A ? 
If the horizontal distance from A to C is 7.50 links, 
and the levels have been taken in feet, wluit is the rise from A to C per 
hundred feet horizontal ? 
8. The distance from A to C is known to be 7,342 ft., and from A to B is 
6,735 ft. ; the angle B A C is found by measurement to be 71° 43' : calculate 
the distance from B to C. 
1,100 
520 
400 
2.60 
140 
000 
L. ofifD. 
810 
700 
600 
000 
L. off C. 
750 
630 
310 
000 
L. off B. 
680 
400 
210 
000 
Begin at A 
and go N. 
0 
30 
45 
0 
0 
62 
0 
0 
