Indirect Measurement

Front

What is indirect measurement?

Back

Indirect measurement is a technique used to determine the height or length of an object without directly measuring it, often using similar triangles or shadows.

Front

How can shadows be used to measure height?

Back

By comparing the lengths of shadows cast by two objects of known height, you can set up a proportion to find the height of an unknown object.

Front

If a 10-foot pole casts a shadow of 5 feet, what is the ratio of height to shadow length?

Back

The ratio is 10 feet (height) to 5 feet (shadow), which simplifies to 2:1.

Front

A building casts a shadow of 50 feet while a 10-foot pole casts a shadow of 5 feet. How tall is the building?

Back

100 feet.

Front

What is a scale in modeling?

Back

A scale is a ratio that compares the dimensions of a model to the dimensions of the actual object.

Front

If a model car is built using a scale of 1 inch : 1.5 feet, how do you convert the model's length to the actual car's length?

Back

Multiply the model's length by the scale factor to find the actual length.

Front

A model car is 10 inches long. How long is the actual car if the scale is 1 inch : 1.5 feet?

Back

15 feet.

Front

What is the purpose of using a mirror in indirect measurement?

Back

A mirror can help visualize the height of an object by reflecting its image, allowing for measurements based on angles.

Front

To find the height of a very tall pine tree using a mirror, what information do you need?

Back

You need to know the distance from the mirror to the tree and the height at which you are standing.

Front

If a 15-foot ladder casts a shadow of 9 feet, and a 6-foot pole casts a shadow of 3.6 feet, how tall is the wall?

Back

12 feet.