Question

Your job is to paint lines in a long, straight parking lot. You determine the dividing lines need to be parallel. The length of the parking lot next to the curb is 162 ft. You need to determine which angle the lines should be drawn with the curb to maximize the number of cars that can park. a. How far apart should the lines be? b. What angle should they each be with the curb? c. Is the angle right, obtuse, or acute? d. What is the measure of the angle adjacent to the angle you calculate? e. Is the angle right, obtuse, or acute? f. How are the two angles related? g. How many spots will there be?

Answer 1

a. 9 ft

b. 90 ° right angled

c. Right angle

d. 90°

e, Right angle

f. Angles on a straight line

g. 18 spots

Explanation:

Here we have maximization question;

a. The separation distance of the dividing lines in a parking lot need to be far apart enough as to accommodate a vehicle with room to open the doors, therefore, it should be between 8.5 to 10 ft wide which gives a mean parking space width of approximately 9 ft

b. The angle of lines of the parking lot to the curb that will accommodate the most cars is 90°, because it reduces the width occupied by a car

c. The angle is right angled

d. Since the adjacent angle + calculated angle = angles on a straight line = 180 °

Therefore, adjacent angle = 90°

e. The angle is right angled

f. Angles on a straight line

g. The number of spots will be 162/9 = 18 spots.