Civil Engineering Online Review

From the given close traversed, find the corrected bearing of line EA.

LINE                 DIST(m.)                 BEARING

AB                     895                       S. 70°29’ E.

BC                     315                       S. 26°28’ E.

CD                     875                       S. 65°33’ W.

DE                     410                       N. 45°31’ W.

EA                     650                          N. 10° E.

Solution:

LINE                 DIST(m.)                 BEARING

AB                     -299                     +843.58

BC                     -281.99                +140.39

CD                     -362.16                 -796.53

DE                    +287.29                -292.52

EA                    +640.13                +112.87

*************_______ *****_______

***********-943.15                -1089.05

**********+927.42                +1096.84

*************_______ *****_______

***********1870.57                2185.89

**************Using transit rule

*******Error in Lat.                 Error in Disp.

*********-943.15                         -1089.05

*********+927.42                       +1096.84

********_______ ***********_______

*********-   15.73                        +     7.79

What time after 3 o’clock will the hands of the clock be together for the first time?

Solution:

Solution:

A spherical triangle ABC has an angle C = 90° and sides    a = 50° and c = 80°., Find the value of “b” degrees?

Solution:

Find the minimum amount of thin sheet that can be made into a closed cylinder having a volume of 108cu.in. in square inches.

Solution:

Differentiate Arc Cos 4x:

Solution:

A deposit of P110,000 was made for 31 days. The net interest after deducting 20% withholding tax is P890.36. Find the rate of return annually.

Solution:

Find the area enclosed by the curve x²+8y+16=0, the x-axis, and the line x – 4 = 0.

Solution:

In the sum of the interior angles of a polygon with an equal sides is 1080°, find the number of sides of a polygon?

Solution:

( n – 2 ) 180 = 1080

n – 2 = 6

n = 8

Find the distance from point A(4,2) to B(-5,1).

Solution:

Find the slope of a line having a parametric equation of x = 2 + t and y = 5 – 3 t

Solution:

A circular cone having an altitude of 9 m. is divided into 2 segments having the same vertex. If the smaller altitude is 6 m., find the ratio of the volume of small cone to the big cone.

Solution:

A circular curve having an azimuth of back tangent equal to 205° and the azimuth of the forward tangent equal to 262°. If the middle ordinate is 5.6 m. find the length of the tangent.

Solution:

The corners of a cubical block touched the closed spherical shell that encloses it. The volume of the box is 2744 cubic centimeter. What volume in cubic centimeter inside shell is not occupied by the block?

Solution:

Solution:

A projectile leaves at a velocity of 50 m/s at an angle of 30° with the horizontal. Find the maximum height that it could reach?

Solution:

A line was measured with a 50m. tape. There were 2 tallies, 8 pins, and the distance from the last pin to the end of the line was 2.25 m. Find the length of the line in meters?

Solution:

1 tally = 10 pins

1 pin = 1 chain

2 (10)(50) + 8(50) + 2.25 = 1402.25 m.

Which of the following numbers should be change to make all the numbers form an Arithmetic progression when properly arranged?

Solution:

From the given differential leveling notes, find the elevation of BM₂.

STA                   B.S.                 F.S.                    ELEV.

BM₁ ********2.565                                            33.971

TP₁ ********10.875               5.821

TP₂ *********7.035               1.946

BM₁ *********5.741

Solution:

STA             B.S.                           F.S.                   ELEV.

BM₁ ******2.565          36.536                           33.971

TP₁ ******10.875         41.59          5.821        30.715

TP₂ ****** 7.035          46.679        1.946       39.644

BM₂ ****** ******** *************5.741       40.938

Find the value of “w” in the following equations:

3x – 2y + w =11

x + 5y – 2w = -9

2x + y – 3w = -6

Solution:

From station 0 + 0.40 with center height of 1.2 m. in fill, the ground line makes a uniform slope of 6.5% to station 0 + 100, whose center height in cut is 3.5m. Find the grade of the finished roadway.

Solution: