Calculus and Trigonometry Problems. Urgently need Help

Nov 2015
18
0
Devon
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1. calculate the area of the triangular fields, and the length of perimeter fencing required to secure the site. AB= 20m, Angle ABC= 60 degrees, Angle ACB= 20 degrees and angle BCD= 60 degrees.


2. The width of a river at a certain section is 60m. Soundings of the depth of the river taken at this section are recorded as follows


DIstance from left bank (m)
0
5
10
15
20
25
30
35
40
45
50
55
60
Sounding Depth (m)
4
8
9
19
30
35
30
24
20
16
10
8
0

Plot the above information, estimate the cross sectional are of the river at this section in m^2, If the volume of water flowing past this point per per second is 10,000m^3, calculate the spped, in m/s, at which the river is flowing. Hint, Volume of flow per second = cross-sectional area x velocity of flow


3. WCB of road AB= 42 degrees, WCB of road BC= 152 degrees. Radius of curvature joining 2 lines is 120m

calculate

a) The length of the tangent AB and BC
b) The length of chord AC
c) The length of curve AC
d) The angle of deflection
e) The angle of deviation

4.