Mathematics “CE Board Exam May 2004″
Find the degree of curve of a central simple curve if it has spiral curve 100m. long on two sides, on which a car traveling at 75 kph will not skid. Use arc basis.
Solution:
Find the degree of curve of a central simple curve if it has spiral curve 100m. long on two sides, on which a car traveling at 75 kph will not skid. Use arc basis.
Solution:
The center height of the road at station 5 + 320 is 4.25m. cut. At station 5 + 420 it is 1.80m. fill. The ground slopes uniformly at -5% from station 5 + 320. How far from station 5 + 320 toward station 5 + 420 will the excavation extend.
Solution:
Determine the area of the spherical triangle ABC if A = 140°, B = 75°, C = 86° and r = 40m.
Solution:
The vertical of a triangle have polar coordinates of (0, 0), (6, 30°) and (9, 70°). Find the perimeter of the triangle.
Solution:
A curve road 74m. in radius has a super elevation of 0.12 and a design speed of 80 kph. Determine the coefficient of friction between the tires and the payment.
Solution:
The upper and lower bases of a frustum of a regular rectangular pyramid are 3m x 4m and 6m x 8m respectively. If the volume is 140cu.m., what is the distance between the bases in meters?
Solution:
A cylindrical with an altitude of 15cm. has a base in the form of a regular octagon inscribed in a square 10cm x 10cm. Find the volume of the cylinder in cubic cm.
Solution:
A closed conical vessel has its horizontal base at the bottom and its axis vertical. The water in its stands 0.5m. deep. The base radius is 1 m. and the altitude is 2.5m. The vessels position was changed such that the horizontal base was uppermost. Find the depth of the water from the bottom.
Solution:
A machine has a first cost of P200,000. At the end of its economic life of 10 years. Its scrap value is estimated to be P25,000. What will be its book value in pesos at the end of 8 years? Use Double Declining Balance Method.
Solution:
At 4:00 P.M. boat A left the pier in the direction N. 45° E. at 26 mph. At 4:30 P.M. boat B left the same pier in the direction S. 30° E. at 32 mph. How fast were they separating at 5:00 P.M.
Solution: