To solve these multiple-choice questions, we need to use the concept of scale. Scale is a ratio that relates the dimensions of an actual object or distance to its representation on a map or scale drawing. The formula to find the map distance is:
Map distance = Actual distance / Scale
For the first question:
Actual distance = 135 km
Map scale = 1 cm:100 km
Substituting the values into the formula:
Map distance = 135 km / 100 km
Map distance = 1.35 cm
So, the correct answer is B. 1.35 cm.
For the second question:
Map distance = 2 cm
Map scale = 1 cm:45 km
Substituting the values into the formula:
Actual distance = 2 cm * 45 km
Actual distance = 90 km
So, the correct answer is A. 90 km.
For the third question:
Model height = 7 inches
Scale = 1 inch:1.5 feet
Substituting the values into the formula:
Actual height = 7 inches * 1.5 feet
Actual height = 10.5 feet
So, the correct answer is B. 10.5 ft.
For the fourth question:
Drawing width = 2 inches
Actual width = 8 feet
Substituting the values into the formula:
Scale = 2 inches / 8 feet
Scale = 1 inch:4 feet
So, the correct answer is A. 1 in. = 4 ft.