Scale Models and Map Distances

The video tutorial covers solving problems involving similar shapes and scale drawings. It includes examples such as calculating the height of scale models, determining actual distances between cities using map scales, and finding the height of objects using shadows. The tutorial demonstrates various methods, including cross products and ratio simplification, to solve these problems effectively.

What is the scale used by the architect to build the sports stadium model?

• 1 inch represents 15 feet

• 2 inches represent 30 feet

• 3 inches represent 45 feet

• 4 inches represent 60 feet

If the actual height of the sports stadium is 180 feet, what is the height of the scale model?

• 10 inches

• 18 inches

• 12 inches

• 15 inches

What is the scale used in Corbin's model of the San Jacinto Monument?

• 1 inch represents 100 feet

• 1 inch represents 75 feet

• 1 inch represents 125 feet

• 1 inch represents 50 feet

What is the height of Corbin's scale model if the actual monument is 604 feet tall?

• 7.04 inches

• 8.04 inches

• 6.04 inches

• 5.04 inches

What is the map scale used to find the distance between two cities?

• 1 cm represents 20 km

• 1 cm represents 25 km

• 1 cm represents 10 km

• 1 cm represents 15 km

If the distance on the map is 3.5 cm, what is the actual distance between the cities?

• 50 km

• 70 km

• 60 km

• 80 km

What is the height of the mailbox used to find the height of the pine tree?

• 5 feet

• 2 feet

• 3 feet

• 4 feet

What is the length of the mailbox's shadow?

• 3.8 feet

• 6.8 feet

• 4.8 feet

• 5.8 feet

If the shadow of the pine tree is 56 feet, how tall is the tree?

• 30 feet

• 35 feet

• 40 feet

• 45 feet

What is the height of the shorter building used to find the height of the taller building?

• 16 meters

• 14 meters

• 12 meters

• 18 meters