#2.16 Flashcardizz -- Indirect Measurement

Front

What is indirect measurement?

Back

Indirect measurement is a technique used to determine the size or distance of an object without directly measuring it, often using similar triangles or proportional relationships.

Front

How can similar triangles be used in indirect measurement?

Back

Similar triangles can be used in indirect measurement by setting up a proportion between the lengths of corresponding sides of two triangles that share an angle.

Front

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

Back

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

Front

If a tree casts a shadow of 10 feet and a person casts a shadow of 5 feet, and the person's height is 6 feet, how tall is the tree?

Back

Height of the tree = (10 feet / 5 feet) * 6 feet = 12 feet.

Front

What is the principle of proportionality in indirect measurement?

Back

The principle of proportionality states that if two triangles are similar, the ratios of their corresponding sides are equal.

Front

How do you set up a proportion for indirect measurement?

Back

To set up a proportion, identify the corresponding sides of the similar triangles and create a ratio, then solve for the unknown.

Front

What is the height of a statue if it casts a shadow of 15 feet and a 5-foot person casts a shadow of 3 feet?

Back

Height of the statue = (15 feet / 3 feet) * 5 feet = 25 feet.

Front

What is the relationship between the angles in similar triangles?

Back

In similar triangles, corresponding angles are equal.

Front

If a building is 108 feet tall and casts a shadow of 36 feet, what is the length of the shadow of a 6-foot person?

Back

Length of the shadow of the person = (36 feet / 108 feet) * 6 feet = 2 feet.

Front

What is the formula for finding the width of a river using indirect measurement?

Back

Width of the river = (Height of object / Height of observer) * Length of observer's shadow.