Indirect Measurement

Front

What is Indirect Measurement?

Back

Indirect measurement is a technique used to measure an object without directly measuring it, often using similar triangles or proportions.

Front

How do you find the length of a missing side in similar triangles?

Back

To find the length of a missing side in similar triangles, set up a proportion based on the lengths of the corresponding sides.

Front

If a man is 6 feet tall and casts a shadow of 2 feet, what is the ratio of his height to his shadow?

Back

The ratio of the man's height to his shadow is 6:2, which simplifies to 3:1.

Front

If a 5 feet tall woman casts a shadow, how can you find its length using the man's shadow?

Back

Use the ratio of the man's height to his shadow to set up a proportion to find the woman's shadow length.

Front

What is the formula for finding the height of an object using its shadow?

Back

Height of object = (Height of reference object / Length of reference shadow) * Length of object's shadow.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve for a missing value in a proportion?

Back

Cross-multiply the known values and then divide to find the missing value.

Front

What is the significance of similar triangles in indirect measurement?

Back

Similar triangles have the same shape but different sizes, allowing us to use their proportional sides to find unknown lengths.

Front

If a flagpole casts a shadow of 22 feet, how can you find its height if you know the height of a nearby object?

Back

Set up a proportion using the height of the nearby object and its shadow length to solve for the height of the flagpole.

Front

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

Back

The height of an object is directly proportional to the length of its shadow when the light source is at the same angle.