cxii Agricultural Education — Examination Papers, 1886 
MENSURATION and LAND SURVEYING. 
Maximum Number of Marks, 200. Pass Number, 100. 
Thursday, May 13th, from 2 p.m. till 5 p.m. 
1. State the rule for finding the area of a quadrilateral, two of 
whose sides are parallel. 
If the parallel sides are 50 feet apart, and one of them 100 feet 
long, what is the length of the other parallel side if the area of the 
quadrilateral is 7000 square feet? 
2. The base of a cylindrical tank has a diameter of 12 feet ; what 
is its depth if it is capable of holding 1000 cubic feet of water? 
3. A hole, with a uniform depth of 10 feet, is dug in level ground ; 
its bottom is a rectangle 100 feet by 30 feet ; the slopes of the side 
are 1 vertical to 2 horizontal ; draw a plan of the hole, and calculate 
the number of cubic feet of earth removed in digging it. 
4. A B C is a triangular piece of gi-ound ; the sides A B and B C 
can bo measured, but A C passes through a pond ; explain how you 
could get the data for drawing the triangle ABC, and so for 
determining the length of A C, if you have nothing but a measuring 
tape and pegs. 
5. A line A B passes through a narrow 
piece of ground ; from the annexed measure- 
ments draw a plan of the ground, and find its 
area. 
6. Two points on a map are 10 inches apart ; 
the points on the ground arc a quarter of a 
mile apart ; draw a scale for the map on which 
distances from 10 feet up to 500 feet can be r^^ 
measured. 
From 
If the lengths of the sides of a triangle on 
the map are 13-52 in., 14-lG in. and 12-96 in. ; 
what is the area of the triangle on the ground in acres ? 
7. Calculate the altitude of the sun when a polo 40 feet high casts 
on horizontal ground a shadow 73 feet long. 
8. Write down a formula, adapted to logarithms, by which to 
calculate an angle of a triangle whose three sides aro known. Apply 
it to calculate the smallest angle of the triangle whoso sides are 
751, 892, 1007 feet respectively. 
B 
1500 
600 
410 
320 
000 
A go 
20 
ICQ 
90 
210 
East 
