### 4. Self Study Problems

#### Problem (1)

What is the distance in feet from station 23+56.38 to 30+06.85?

#### Problem (2)

A 1750.00 ft long alignment starts at 12+45.64. What is the end station of the alignment?

#### Problem (3)

A -3.50% grade begins at station 21+45.00 and at station 24+00.00 passes through an elevation of 856.25. The grade line terminates at station 25+65.50.

##### Part (a)
What is the elevation at the end of the grade line?
##### Part (b)
What is the elevation at the beginning of the grade line?

#### Problem (4)

Compute the grade between the following points

From: sta @ elev To: sta @ elev
##### Part (a)
12+50.00 @ 968.23' 16+75.00 @ 975.23'
##### Part (b)
37+76.35 @ 1048.64' 39+18.42 @ 1042.60

#### Problem (5)

A short straight alignment begins at station 23+50.00, whose coordinates are 8000.00' N, 3000.00' E, and runs S38°20'45"W 735.30' to its end. A survey crew located an existing power pole and reported its position as 76.44 ft L @ 28+02.35.  What are the coordinates of the power pole?

#### Problem (6)

A -2.00% grade leaves from station 12+50.00 at an elevation of 825.00. It intersects a +3.00% grade line which ends at station 20+50.00 and elevation 834.00. What are the station and elevation at the intersection of the two grade lines?

Answers: Coming soon...