Civil Engineering Board Exam May 2002 - Mathematics & Surveying

A compound curve has a common tangent equal to 140 m. First curve has a radius equal to 194 m and has subtended angle of equal to 24° while the second curve has central angle of 34°. what is the degree of the second curve?2.45

A self-employed engineer deposited P6000 every three months at 10% compounded quaterly. Compute the lump sum amount he could withdraw after 20 years.

A machine has first cost of P100 000 and its scrap value after 10 years is P10 000. Compute the book value after 5 years using double declining balance method.

Compute the surface area of a regular tetrahedrom whos voulme is 12.3 \(cm^3\).

How many diagonals can be formed in an undecagon?

Which of these gives the highest annual effective rate of interest?

Compute the shortest distance from point (26,4) to the curve: \(x^2 - 16x + y^2 + 16y + 64 = 0\)

From station 40+160 with center height of 1.4m in fill, the ground line makes a uniform slope of 5% to station 40+220 whose center height is 2.8m in cut. How far from station 40+220 toward station 40+160 will the excavation extend?