The cross-section notes shown below are for a ground excavation for a 10-m. wide roadway.
What is the cross-sectional area, in sq.m., at Sta 16 + 100?
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Sta. P.T. of a compound curve is at 15 + 480.14. I1 = 30°, D1 = 4° and D2 =5°. What is the stationing of P.C.C.? Use arc basis.
Solution:
The tangents of a simple curve have bearings of N 75°12’ E and S 78°36’ E respectively. What is the central angle of the curve?
Solution:
Using 50-m tape that is 0.02m. too long, the measured distance from A to B is 160.42m. What is the correct distance from A to B?
Solution:
A man inherited a regular endowment of P100,000 every end of 3 months for x years. However, he may choose to get a single lump of P3,702,939.8 at the end of 4 years. If the rate of interest was 14% compounded quarterly. What is the value of x.
Solution:
A 200 kg. crate impends to side down a ramp inclined at an angle of 19.29° with the horizontal. What is the frictional resistance. Use g = 9.81 m/s2.
Solution:
A highway curve having a radius of 400 ft. is banked so that there will be no lateral pressure on the car’s wheel at a speed of 48 kph. What is the angle of elevation of the embankment? Use g = 9.81 m/s2 . Answer in degrees.
Solution:
Cars A and B are traveling in the same direction at the same speed of 70 kph on a level road. Car A is 150m ahead of B. Car A decelerates at the rate of 2m/s2 . From this instant up to the time B overtakes A, how far has B traveled?
Solution:
Given is the area in the first quadrant bounded by x2 = 8y, the line y – 2 = 0 and the y-axis. What is the volume generated when this area is revolved about the line y – 2 = 0?
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What is the integral of Sin x dx if the lower limit is 0 and the upper limit is x/2 ?
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Gas is escaping from a spherical balloon at a constant rate of 2 cu.ft/min. How fast, in sq. ft/min., is the outer surface area of the balloon shrinking when the radius is 12 ft?
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A cylindrical steam boiler is to have a volume of 1340 cu.ft. The cost of the metal sheets to make the boiler should be minimum. What should be its base diameter in feet?
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The area of a triangle is 8346 sq.m. and two of its interior angles are 37°25’ and 56°17’. What is the length of the longest side in m?
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How many terms of the progression 3, 4, 5, 9 . . . . must be taken in order that their sum will be 2600?
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What is the area, in sq.m., of the zone of a spherical segment having a volume of 1470.265 cu.m. If the diameter of the sphere is 30m?
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A right circular cone has base radius of x ad an attitude of 3x. what it is slant height?
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A regular triangular pyramid has an altitude of 9m. and a volume of 187.06 cu.m. What is the base edge in m?
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An airplane flying with the wind, took 2 hours to travel 1000 km. and 2.5 hours to fly back. What was the wind velocity in kph?
Solution:
In a benefit show, a number of wealthy men agreed that the first one to arrive would pay 10 centavos to enter and each later arrival would pay twice as much as the proceeding man. The total amount collected from all of them was P104,857.50. How many wealthy men paid?
Solution:
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