indirect measurement

indirect measurement

Assessment

Flashcard

Mathematics

8th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is indirect measurement?

Back

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

2.

FLASHCARD QUESTION

Front

How do you set up a proportion for indirect measurement?

Back

To set up a proportion, compare the height of an object to its shadow length with another object's height and shadow length, forming a ratio: \( \frac{height_1}{shadow_1} = \frac{height_2}{shadow_2} \).

3.

FLASHCARD QUESTION

Front

If a fire hydrant is 2.5 feet tall and casts a 5-foot shadow, what is the height of a street light that casts a 26-foot shadow?

Back

The height of the street light is 13 feet.

4.

FLASHCARD QUESTION

Front

What is the formula to find the height of an object using shadows?

Back

The formula is: \( height = \frac{shadow_{object} \times height_{reference}}{shadow_{reference}} \).

5.

FLASHCARD QUESTION

Front

How can you find the height of a telephone pole using a person's height and shadow?

Back

Set up a proportion using the person's height and shadow compared to the pole's height and shadow.

6.

FLASHCARD QUESTION

Front

What is the height of a child who is 4 feet 6 inches tall if they cast a 6-foot shadow and a statue casts a 12-foot shadow?

Back

The height of the statue is 9 feet.

7.

FLASHCARD QUESTION

Front

What is the significance of similar triangles in indirect measurement?

Back

Similar triangles allow us to use proportional relationships to find unknown heights or distances based on known measurements.

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