CE Board Examination Mathematics & Surveying May 2003

The length of common tangent of a compound horizontal curve is 520 m. D₁ = 3°, l₁ = 50°, l₂ = 35°. Compute the radius of the second curve. 

Area of a given cross section is 31.7 m². The road width is 10 m with side sloping to 2 horizontal to 1 vertical.

\({9.8\over2.4},{0\over x},{7.4\over1.2}\)

Compute the value of x.

A car travelling at 65 mph sees an obstruction ahead. If the reaction distance covered is 72.2m. Compute the reaction time (PIEV).

The distance form the middle of the curve to the point of intersection of tangents of a circular curve is 14.2 m. The radius of the curve is 200 m. Find the central angle.

Lot ABCDEFA is a closed traverse in the form of regular hexagon. If the bearing of line A is N25°E, what is the bearing of line CD?

Find the sum of coefficients of the expansion (a+b)⁶

The cost of the machine is P 140 000 and has a useful life of 8 years. If the salvage value is P 10 000, find the depreciation during fourth year using Double Declining Balance Method. 

What is the present worth of an annuity P2000 for 8 years if the first annual payment us at the end of 10 years? The rate of interest is 5% compounded annually.