1.0 (1 mark for each answers, 1x7=7, & 0.5 for eqations, 0.5x6=3)

(a) Are definition:

s= 30m,
R= ര x 180
Da 7
‏0د‎ 2020180 ப ಬೃ 5.70 Ans.
7೫
(0) Chord definition:
5 00 7
R sin ए, ~ 5
~ 30
300 sin 2 ‏سیت‎ x
DC = 5.732 Ans.
(i) Length of the curve:
7 ‏و‎
‏ہ۶۸۵۸‎ = 300 x 60 x ददु = 314.16 ण Ans.
(ii) Tangent length:
T= ‏م‎ tan > = 300 tan ©) = 173.21 m Ans.
(iii) Length of long chord:
L=2Rsin > = 2x 300 x sin जि = 300m Ans.
(iv) Mid-ordinate:
M = ^ [1 - ००५ ~ ] = 300(1-cos 2) = 40.19 ௩ Ans.
(v) Apex distance:
£ = R(sec 4-1) = 300{see 9-1) = 46.41 m Ans.

ற்‌) (listing any 4 types=1, explain any four with fig, 4x1=4)

There are four types of horizontal curves. They are described as follows: