Civil and Environmental Engineering Answers

1. Find the distance from the point (2,3) to the line 3x + 4y + 9 = 0.

2. Find the distance between the given line 4x – 3y = 12 and 4x – 3y + 8 = 0. lines.

A golf ball is driven horizontally from an elevated tee with a speed of 25 m/s. It strikes the fairway 2.5 sec later.

(a) How far has it fallen vertically?

(b) How far has it travelled horizontally?

(c) Find the horizontal and vertical components of its velocity just before it strikes the fairway. 

A golf ball is driven horizontally from an elevated tee with a velocity of 27 m/s. It strikes the fairway 2.5 sec later. How far has it fallen horizontally?

Determine the resultant of the system of concurrent forces having the following magnitudes

and passing through the origin and the indicated points: P = 280 lbs, C ( 6, -4, 0 ); T = 520 lbs, B

( -3, -4, 0 ); F = 270 lbs, D ( 4, 6, 0 ). Point A is located at ( 0, 0, 12 )

Draw line/s for each item;

3. Find the equation of the line parallel to 5x + 6y – 10 = 0 at a distance 61 from (-3,7).

4. Find the equation of the line parallel to 3x + 4y = 20 and at a distance of 5 units from this

line.

Draw the line/s for each item using

graphing paper

1. Find the distance from the point (2,3) to the line 3x + 4y + 9 = 0.

2. Find the distance between the given line 4x – 3y = 12 and 4x – 3y + 8 = 0. lines.

Draw the line/s for each item:

1. Find the distance from the point (2,3) to the line 3x + 4y + 9 = 0.

2. Find the distance between the given line 4x – 3y = 12 and 4x – 3y + 8 = 0. lines.

3. Find the equation of the line parallel to 5x + 6y – 10 = 0 at a distance 61 from (-3,7).