Civil Engineering Online Review

Find the distance between the vertices of the ellipse having an equation of 64x² + 25y² + 768x – 200y + 1104 = 0.

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In triangle ABC, AB = 30cm., BC = 36cm., CA = 48cm., Find the distance from the side BC to the point of intersection of the perpendicular bisector of the sides of the triangle.

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Determine the nearest distance from the external point (4, 2) to the curve y² = 8x.

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Find the distance from point (6, 4) to the circle x² – 16x + y² + 16y + 64 = 0

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A piece of wire of length 72cm. is cut into two unequal parts. Each part is the bent to form a square. It is found that the total area of the two squares is 194 cm². Find the difference between the sides of the square.

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Compute the rate of flow in vehicles per hour if the space mean speed is 30 mph and the density is 14 vehicles per km.

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A particle moves along a path whose parametric equations are x = t³ and y = 2t³. What is the acceleration when t = 3 sec.

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Determine the distance from the y-axis to the centroid of the section having coordinates of A(4, 0), B(4, 4), C(10, 8), D(12, 4) and E(12, 0).

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The volume of a tetrahedron is 12.3 cu.cm. Find the surface area.

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With the line of sight making an angle of 4°30’ with the horizontal, the length intercepted on the stadia rod is 1.8m. The stadia constant is 0.30 and the stadia interval factor is 100. Determine the vertical distance of the point sighted above the instrument.

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Find the length of the line from point (5, 3) to the y-axis if the slope of the line is 3/2.

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How many diagonals are there in an undecagon?

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An equipment has a first cost P100,000 with a salvage value of P10,000 at the end of its life of 10 yrs. Compute the book value at the end of 5 yrs. using double declining balance method.

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Which of the following gives the highest effective interest rate.

a) 12.75% compounded annually

b) 12.5% compounded semi-annually

c) 12.25% compounded quarterly

d) 12.0% compounded monthly

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A conical tank has a diameter of 10 ft. and a height of 12ft. It is full of liquid having a unit weight of 62.4 pcf. Find the work done in pumping the liquid out of the conical tank.

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Determine the max. speed in kph that a car could move around a curve having a radius of 500m. if the impact factor of that curve is 0,15. Neglect the friction between tires and pavement.

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A base line measures 18586.21m. at elevation 2402m. If the average radius of curvature is 25821m., compute the sea level distance.

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An equilateral triangular field has sides equal to 2m. each. If the field is divided into two equal areas by a line parallel to one side, compute the length of the dividing line.

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Determine the max. speed in kph that a car could move around a curve having a radius of 500m. if the impact factor of that curve is 0,15. Neglect the friction between tires and pavement.

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A spiral easement curve has a length of 100m. with a central curve having a radius of 300m. Determine the offset distance from the tangent to the 2^nd quarter point of the spiral.

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A closed conical tank has a radius of 1.2m. at the top and a height of 4.8m. it contains oil at a depth of 2.4m. If the tank is inverted, determine the depth of oil at this position.

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In a given linear permutation n P₅ = 6 n P₃. solve for the value of n.

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Compute for the degree of curve of the second curve of a compound curve having a common tangent of 140m, if the radius of the first curve is 195m. with a central angle of 24°. The central angle of the second curve is 34°.

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A circle having a diameter of 8cm. is inscribed in a sector having a central angle of 80°. Find the area of the sector.

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Determine the sum of the numerical coefficients in the expansion of (a + b)⁸.

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