7.5a indirect measurement

Front

What is indirect measurement?

Back

Indirect measurement is a technique used to determine the height or distance of an object by using the properties of similar triangles and proportional relationships.

Front

How do you set up a proportion for indirect measurement?

Back

To set up a proportion for indirect measurement, you compare the ratios of the heights of two objects to the lengths of their shadows.

Front

If a flagpole is 1 inch = 4 feet and measures 12 inches, how tall is the actual pole?

Back

The actual height of the pole is 48 feet.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two parallel lines cut by a transversal.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, how tall is a building that casts a shadow of 24 feet?

Back

The building is 32 feet tall.

Front

What is the relationship between the height of an object and the length of its shadow in indirect measurement?

Back

The height of an object is proportional to the length of its shadow.

Front

How can you use similar triangles to solve indirect measurement problems?

Back

You can use similar triangles by setting up a proportion based on the corresponding sides of the triangles formed by the objects and their shadows.

Front

What is the formula for finding the height of an object using indirect measurement?

Back

The formula is: (Height of Object 1 / Length of Shadow 1) = (Height of Object 2 / Length of Shadow 2).

Front

In the context of indirect measurement, what does a shadow represent?

Back

A shadow represents the length of the projection of an object based on the angle of the light source.

Front

How do you determine the height of a flagpole if a 6-foot person casts a 2-foot shadow and the flagpole casts a 10-foot shadow?

Back

Set up the proportion: (6 ft / 2 ft) = (Height of Flagpole / 10 ft) and solve for the height of the flagpole, which is 30 feet.