Indirect Measurement (2020-2021)

Front

What is Indirect Measurement?

Back

Indirect Measurement is a technique used to measure objects that are difficult to measure directly by using similar triangles and proportional relationships.

Front

What is the principle of similar triangles?

Back

The principle of similar triangles states that if two triangles have the same shape, their corresponding sides are in proportion.

Front

How do you find the height of an object using shadows?

Back

To find the height of an object using shadows, you can set up a proportion between the height of the object and the length of its shadow compared to the height of a person and their shadow.

Front

If a flagpole casts a shadow of 3.5 meters and a person casts a shadow of 0.75 meters, how do you find the height of the flagpole?

Back

Set up the proportion: (Height of Flagpole / 3.5) = (Height of Person / 0.75). Solve for the height of the flagpole.

Front

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

Back

Height of Object = (Height of Reference Object / Length of Reference Shadow) * Length of Object Shadow.

Front

If Anita's height is 1.5 meters and her shadow is 0.75 meters, what is the ratio of her height to her shadow?

Back

The ratio of Anita's height to her shadow is 1.5 / 0.75 = 2.

Front

How tall is a tree if a person can see the top of it in a mirror placed on the ground?

Back

The height of the tree can be determined by the distance from the person to the mirror and the angle of elevation.

Front

What is the height of a tree if it is determined to be 72 meters using indirect measurement?

Back

The height of the tree is 72 meters.

Front

What is the relationship between the lengths of shadows and the heights of objects?

Back

The lengths of shadows are proportional to the heights of the objects casting them when the light source is the same.

Front

If a tree's height is 15 meters, what can you infer about its shadow if a person standing next to it has a shadow of 1 meter?

Back

The tree's shadow will be longer than the person's shadow, maintaining the proportional relationship.