PROBLEM SET

No.1

 

FE 345

Transportation

Spring 2003

Due: Monday 4/07/2003

8.00am

 

 

 

Problem 1

 

 

For the equation sets given below solve for a and b

 

            Set 1              

 

a + b = 10

a - b = 9

 

           

            Set 2  

           

a2 + b = 21

a - b = - 1

 

 

 

Problem 2

 

 

Find the three unknown parts of the triangle shown in the figure

 

A = 460 09';  b = 100.00 ft;  c = 82.20 ft

 

 

 

Problem 3

 

The four-sided figure shown below represents a parcel of property owned by Scott.  The line E-F represents the center line of a right-of-way for a pipeline that is to cross Scott's property.  Determine the coordinates of the points of intersection of line E-F and side A-B and of line E-F and side D-C.  Coordinates are indicated in feet (x,y).

 

 

 

 

 

 

 

Problem 4

 

 

Find the points of intersection of the circle (x - 2)2 + (y - 3)2 = 49 and the straight line y = x + 1

 

 

 

 

Problem 5

 

 

Find the equation of a circle passing thru points (4,4) and (8,5) with radius 12.