The observed interior angles of a triangle and their corresponding number of times measured are as follows.
STATION ANGLES NO. OF MEASUREMENT
A 39° 3
B 65° 4
C 75° 2
Determine the corrected angle at station A.
Solution:
Given a solid cone having a height of 8cm. has a volume equal to 4 times the volume of the smaller cone that could be cut from the same cone having the same axis, compute the height of the smaller cone.
Solution:
From station A with center heights of 1.4m. in fill, the ground line makes a uniform slope of 5% to station B whose center height is 2.8m. in cut. Assuming both sections to be level sections having width of roadway of 10m. and side slope of 2:1 for both cut and fill, compute the cross sectional area of fill 8m. from station A. Distance between stations A and B is 60m.
Solution:
A rectangular box with square base and open at the top is to have a capacity of 16823cu.cm. Find the height of the box that requires minimum amount of material required.
Solution:
A solid has a circular base of radius “r”. Find the volume of the solid if every plane perpendicular to fixed diameter is a square.
Solution:
A block having a weight “w” is resting on an inclined plane making an angle of 30° with the horizontal. If the block is initially at rest, determine the distance the block will slide down after 3 seconds if the coefficient of friction between the inclined plane and the block is 0.20.
Solution:
Given the three sides of a triangle ABC as AB = 100cm., BC = 150cm., CA = 200cm. Find the area of the triangle.
Solution:
The sides of the triangle ABC = 15cm, BC = 18cm, and CA = 24cm. Compute the distance from the point of intersection of the angular bisectors of the triangle of side AB.
Solution:
The initial angular speed of a rotating flywheel is 40 rad/sec. It accelerates at an angular acceleration of 10 rad/sec2. What will be its final angular speed after 70 revolutions.
Solution:
What is the ratio of the major axis to the minor axis of the ellipse having an equation of 9x2 + 4y2 – 24y – 72x + 144 = 0
Solution:
A price tag of P1200 is payable in 60 days but if paid with in 30 days it will have a 3% discount. Find the rate of interest.
Solution:
At 2:00 P.M. an airplane takes off at a speed of 340 mph on an aircraft carrier. The aircraft carrier moves due south at a speed of 25 mph in the same direction as the plane. At 4:05 P.M., the communication between the plane and the aircraft carrier was cut off. Compute the communication range between the plane and the aircraft carrier.
Solution:
A vertical sag parabolic curve has tangent grades of -2% and +3% Compute the length of curve if it has a sight distance of 178 m.
Solution:
A prismatic bar weighing 25 kg is rotated horizontally about one of its ends at a speed of 2.5 rad/sec. Compute the length of the prismatic bar when it makes an angle of 45° with the vertical.
Solution:
A manufacturer produces certain items at a labor cost per unit of P315, material cost of per unit of P100, variable cost of P3.00 each. If the item has a selling price of P995, how many units must be manufactured each month for the manufacturer to break even if the monthly overhead is P461,600.00.
Solution:
The bases of a right prism is a hexagon with one of each side equal to 6 cm. If the volume of the right prism is 500 cu.cm., find the distance between the bases.
Solution:
The are 9 arithmetic mean between 11 and 51. Compute the sum of the progression.
Solution:
Civil Engineering Online Review
